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Finding the Fourth Proportional to 83,289.92, 114,939.81 and 45,564.17

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Solution

The fourth proportional to 83,289.92, 114,939.81 and 45,564.17 is: 62,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,289.92 : 114,939.81 = 45,564.17 : x
  2. Step 2: Convert to fraction form
    83,289.92/114,939.81 = 45,564.17/x
  3. Step 3: Cross multiply
    83,289.92x = 114,939.81 × 45,564.17
  4. Step 4: Simplify right side
    83,289.92x = 5,237,137,042.61
  5. Step 5: Solve for x
    x = 5,237,137,042.61/83,289.92
  6. Step 6: Final answer
    x = 62,878.40

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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.