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Finding the Fourth Proportional to 59,874.19, 82,631.95 and 34,384.10

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Solution

The fourth proportional to 59,874.19, 82,631.95 and 34,384.10 is: 47,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,874.19 : 82,631.95 = 34,384.10 : x
  2. Step 2: Convert to fraction form
    59,874.19/82,631.95 = 34,384.10/x
  3. Step 3: Cross multiply
    59,874.19x = 82,631.95 × 34,384.10
  4. Step 4: Simplify right side
    59,874.19x = 2,841,224,732.88
  5. Step 5: Solve for x
    x = 2,841,224,732.88/59,874.19
  6. Step 6: Final answer
    x = 47,453.25

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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.