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Finding the Fourth Proportional to 103,658.85, 155,521.08 and 37,097.50

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Solution

The fourth proportional to 103,658.85, 155,521.08 and 37,097.50 is: 55,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658.85 : 155,521.08 = 37,097.50 : x
  2. Step 2: Convert to fraction form
    103,658.85/155,521.08 = 37,097.50/x
  3. Step 3: Cross multiply
    103,658.85x = 155,521.08 × 37,097.50
  4. Step 4: Simplify right side
    103,658.85x = 5,769,443,265.30
  5. Step 5: Solve for x
    x = 5,769,443,265.30/103,658.85
  6. Step 6: Final answer
    x = 55,657.99

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