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Finding the Fourth Proportional to 22,461,503.73, 33,695,978.45 and 7,884,641.05

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Solution

The fourth proportional to 22,461,503.73, 33,695,978.45 and 7,884,641.05 is: 11,828,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,461,503.73 : 33,695,978.45 = 7,884,641.05 : x
  2. Step 2: Convert to fraction form
    22,461,503.73/33,695,978.45 = 7,884,641.05/x
  3. Step 3: Cross multiply
    22,461,503.73x = 33,695,978.45 × 7,884,641.05
  4. Step 4: Simplify right side
    22,461,503.73x = 265,680,694,909,482.12
  5. Step 5: Solve for x
    x = 265,680,694,909,482.12/22,461,503.73
  6. Step 6: Final answer
    x = 11,828,268.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.