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Finding the Fourth Proportional to 82,431.50, 123,646.93 and 34,454.21

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Solution

The fourth proportional to 82,431.50, 123,646.93 and 34,454.21 is: 51,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,431.50 : 123,646.93 = 34,454.21 : x
  2. Step 2: Convert to fraction form
    82,431.50/123,646.93 = 34,454.21/x
  3. Step 3: Cross multiply
    82,431.50x = 123,646.93 × 34,454.21
  4. Step 4: Simplify right side
    82,431.50x = 4,260,156,587.71
  5. Step 5: Solve for x
    x = 4,260,156,587.71/82,431.50
  6. Step 6: Final answer
    x = 51,681.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.