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Finding the Fourth Proportional to 83,073.30, 114,637.14 and 47,259.94

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Solution

The fourth proportional to 83,073.30, 114,637.14 and 47,259.94 is: 65,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,073.30 : 114,637.14 = 47,259.94 : x
  2. Step 2: Convert to fraction form
    83,073.30/114,637.14 = 47,259.94/x
  3. Step 3: Cross multiply
    83,073.30x = 114,637.14 × 47,259.94
  4. Step 4: Simplify right side
    83,073.30x = 5,417,744,358.17
  5. Step 5: Solve for x
    x = 5,417,744,358.17/83,073.30
  6. Step 6: Final answer
    x = 65,216.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.