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Finding the Fourth Proportional to 59,877.38, 82,621.76 and 34,384.86

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Solution

The fourth proportional to 59,877.38, 82,621.76 and 34,384.86 is: 47,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,877.38 : 82,621.76 = 34,384.86 : x
  2. Step 2: Convert to fraction form
    59,877.38/82,621.76 = 34,384.86/x
  3. Step 3: Cross multiply
    59,877.38x = 82,621.76 × 34,384.86
  4. Step 4: Simplify right side
    59,877.38x = 2,840,937,478.63
  5. Step 5: Solve for x
    x = 2,840,937,478.63/59,877.38
  6. Step 6: Final answer
    x = 47,445.92

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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.