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Finding the Fourth Proportional to 47,883.90, 71,825.88 and 22,918.08

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Solution

The fourth proportional to 47,883.90, 71,825.88 and 22,918.08 is: 34,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,883.90 : 71,825.88 = 22,918.08 : x
  2. Step 2: Convert to fraction form
    47,883.90/71,825.88 = 22,918.08/x
  3. Step 3: Cross multiply
    47,883.90x = 71,825.88 × 22,918.08
  4. Step 4: Simplify right side
    47,883.90x = 1,646,111,263.91
  5. Step 5: Solve for x
    x = 1,646,111,263.91/47,883.90
  6. Step 6: Final answer
    x = 34,377.13

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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.