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Finding the Fourth Proportional to 83,673, 115,483.32 and 47,864.52

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Solution

The fourth proportional to 83,673, 115,483.32 and 47,864.52 is: 66,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,673 : 115,483.32 = 47,864.52 : x
  2. Step 2: Convert to fraction form
    83,673/115,483.32 = 47,864.52/x
  3. Step 3: Cross multiply
    83,673x = 115,483.32 × 47,864.52
  4. Step 4: Simplify right side
    83,673x = 5,527,553,679.81
  5. Step 5: Solve for x
    x = 5,527,553,679.81/83,673
  6. Step 6: Final answer
    x = 66,061.38

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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.