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Finding the Fourth Proportional to 47,643.68, 71,460.40 and 19,566.68

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Solution

The fourth proportional to 47,643.68, 71,460.40 and 19,566.68 is: 29,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,643.68 : 71,460.40 = 19,566.68 : x
  2. Step 2: Convert to fraction form
    47,643.68/71,460.40 = 19,566.68/x
  3. Step 3: Cross multiply
    47,643.68x = 71,460.40 × 19,566.68
  4. Step 4: Simplify right side
    47,643.68x = 1,398,242,779.47
  5. Step 5: Solve for x
    x = 1,398,242,779.47/47,643.68
  6. Step 6: Final answer
    x = 29,347.92

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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.