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Finding the Fourth Proportional to 83,613, 115,386.12 and 45,887.16

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Solution

The fourth proportional to 83,613, 115,386.12 and 45,887.16 is: 63,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,613 : 115,386.12 = 45,887.16 : x
  2. Step 2: Convert to fraction form
    83,613/115,386.12 = 45,887.16/x
  3. Step 3: Cross multiply
    83,613x = 115,386.12 × 45,887.16
  4. Step 4: Simplify right side
    83,613x = 5,294,741,350.22
  5. Step 5: Solve for x
    x = 5,294,741,350.22/83,613
  6. Step 6: Final answer
    x = 63,324.38

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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.