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Finding the Fourth Proportional to 83,784.77, 115,622.17 and 62,370.28

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Solution

The fourth proportional to 83,784.77, 115,622.17 and 62,370.28 is: 86,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,784.77 : 115,622.17 = 62,370.28 : x
  2. Step 2: Convert to fraction form
    83,784.77/115,622.17 = 62,370.28/x
  3. Step 3: Cross multiply
    83,784.77x = 115,622.17 × 62,370.28
  4. Step 4: Simplify right side
    83,784.77x = 7,211,386,805.26
  5. Step 5: Solve for x
    x = 7,211,386,805.26/83,784.77
  6. Step 6: Final answer
    x = 86,070.38

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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.