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Finding the Fourth Proportional to 77,357.55, 116,013.82 and 29,962.08

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Solution

The fourth proportional to 77,357.55, 116,013.82 and 29,962.08 is: 44,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,357.55 : 116,013.82 = 29,962.08 : x
  2. Step 2: Convert to fraction form
    77,357.55/116,013.82 = 29,962.08/x
  3. Step 3: Cross multiply
    77,357.55x = 116,013.82 × 29,962.08
  4. Step 4: Simplify right side
    77,357.55x = 3,476,014,874.79
  5. Step 5: Solve for x
    x = 3,476,014,874.79/77,357.55
  6. Step 6: Final answer
    x = 44,934.39

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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.