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Finding the Fourth Proportional to 37,487.30, 56,230.95 and 9,785.30

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Solution

The fourth proportional to 37,487.30, 56,230.95 and 9,785.30 is: 14,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,487.30 : 56,230.95 = 9,785.30 : x
  2. Step 2: Convert to fraction form
    37,487.30/56,230.95 = 9,785.30/x
  3. Step 3: Cross multiply
    37,487.30x = 56,230.95 × 9,785.30
  4. Step 4: Simplify right side
    37,487.30x = 550,236,715.04
  5. Step 5: Solve for x
    x = 550,236,715.04/37,487.30
  6. Step 6: Final answer
    x = 14,677.95

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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.