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Finding the Fourth Proportional to 59,493.59, 82,133.13 and 45,951.78

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Solution

The fourth proportional to 59,493.59, 82,133.13 and 45,951.78 is: 63,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,493.59 : 82,133.13 = 45,951.78 : x
  2. Step 2: Convert to fraction form
    59,493.59/82,133.13 = 45,951.78/x
  3. Step 3: Cross multiply
    59,493.59x = 82,133.13 × 45,951.78
  4. Step 4: Simplify right side
    59,493.59x = 3,774,163,085.38
  5. Step 5: Solve for x
    x = 3,774,163,085.38/59,493.59
  6. Step 6: Final answer
    x = 63,438.15

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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.