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Finding the Fourth Proportional to 61,781.94, 92,658.74 and 36,829.08

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Solution

The fourth proportional to 61,781.94, 92,658.74 and 36,829.08 is: 55,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,781.94 : 92,658.74 = 36,829.08 : x
  2. Step 2: Convert to fraction form
    61,781.94/92,658.74 = 36,829.08/x
  3. Step 3: Cross multiply
    61,781.94x = 92,658.74 × 36,829.08
  4. Step 4: Simplify right side
    61,781.94x = 3,412,535,964.01
  5. Step 5: Solve for x
    x = 3,412,535,964.01/61,781.94
  6. Step 6: Final answer
    x = 55,235.17

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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.