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Finding the Fourth Proportional to 83,088.91, 114,662.10 and 45,363.16

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Solution

The fourth proportional to 83,088.91, 114,662.10 and 45,363.16 is: 62,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,088.91 : 114,662.10 = 45,363.16 : x
  2. Step 2: Convert to fraction form
    83,088.91/114,662.10 = 45,363.16/x
  3. Step 3: Cross multiply
    83,088.91x = 114,662.10 × 45,363.16
  4. Step 4: Simplify right side
    83,088.91x = 5,201,434,601.53
  5. Step 5: Solve for x
    x = 5,201,434,601.53/83,088.91
  6. Step 6: Final answer
    x = 62,600.83

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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.