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Finding the Fourth Proportional to 37,614.84, 56,422.46 and 11,319.40

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Solution

The fourth proportional to 37,614.84, 56,422.46 and 11,319.40 is: 16,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,614.84 : 56,422.46 = 11,319.40 : x
  2. Step 2: Convert to fraction form
    37,614.84/56,422.46 = 11,319.40/x
  3. Step 3: Cross multiply
    37,614.84x = 56,422.46 × 11,319.40
  4. Step 4: Simplify right side
    37,614.84x = 638,668,337.13
  5. Step 5: Solve for x
    x = 638,668,337.13/37,614.84
  6. Step 6: Final answer
    x = 16,979.16

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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.