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Finding the Fourth Proportional to 123,642.93, 185,476.59 and 34,897.20

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Solution

The fourth proportional to 123,642.93, 185,476.59 and 34,897.20 is: 52,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,642.93 : 185,476.59 = 34,897.20 : x
  2. Step 2: Convert to fraction form
    123,642.93/185,476.59 = 34,897.20/x
  3. Step 3: Cross multiply
    123,642.93x = 185,476.59 × 34,897.20
  4. Step 4: Simplify right side
    123,642.93x = 6,472,613,656.55
  5. Step 5: Solve for x
    x = 6,472,613,656.55/123,642.93
  6. Step 6: Final answer
    x = 52,349.24

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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.