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Finding the Fourth Proportional to 37,643.40, 56,470.47 and 12,337.50

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Solution

The fourth proportional to 37,643.40, 56,470.47 and 12,337.50 is: 18,508.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.40 : 56,470.47 = 12,337.50 : x
  2. Step 2: Convert to fraction form
    37,643.40/56,470.47 = 12,337.50/x
  3. Step 3: Cross multiply
    37,643.40x = 56,470.47 × 12,337.50
  4. Step 4: Simplify right side
    37,643.40x = 696,704,423.63
  5. Step 5: Solve for x
    x = 696,704,423.63/37,643.40
  6. Step 6: Final answer
    x = 18,508.01

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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.