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Finding the Fourth Proportional to 103,658.86, 155,521.14 and 37,097.50

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Solution

The fourth proportional to 103,658.86, 155,521.14 and 37,097.50 is: 55,658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658.86 : 155,521.14 = 37,097.50 : x
  2. Step 2: Convert to fraction form
    103,658.86/155,521.14 = 37,097.50/x
  3. Step 3: Cross multiply
    103,658.86x = 155,521.14 × 37,097.50
  4. Step 4: Simplify right side
    103,658.86x = 5,769,445,491.15
  5. Step 5: Solve for x
    x = 5,769,445,491.15/103,658.86
  6. Step 6: Final answer
    x = 55,658.01

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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.