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Finding the Fourth Proportional to 71,032.50, 106,549.56 and 21,111.30

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Solution

The fourth proportional to 71,032.50, 106,549.56 and 21,111.30 is: 31,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,032.50 : 106,549.56 = 21,111.30 : x
  2. Step 2: Convert to fraction form
    71,032.50/106,549.56 = 21,111.30/x
  3. Step 3: Cross multiply
    71,032.50x = 106,549.56 × 21,111.30
  4. Step 4: Simplify right side
    71,032.50x = 2,249,399,726.03
  5. Step 5: Solve for x
    x = 2,249,399,726.03/71,032.50
  6. Step 6: Final answer
    x = 31,667.19

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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.