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Finding the Fourth Proportional to 61,691.84, 85,134.73 and 34,467.93

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Solution

The fourth proportional to 61,691.84, 85,134.73 and 34,467.93 is: 47,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,691.84 : 85,134.73 = 34,467.93 : x
  2. Step 2: Convert to fraction form
    61,691.84/85,134.73 = 34,467.93/x
  3. Step 3: Cross multiply
    61,691.84x = 85,134.73 × 34,467.93
  4. Step 4: Simplify right side
    61,691.84x = 2,934,418,038.08
  5. Step 5: Solve for x
    x = 2,934,418,038.08/61,691.84
  6. Step 6: Final answer
    x = 47,565.74

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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.