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Finding the Fourth Proportional to 37,690.24, 56,535.12 and 9,988

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Solution

The fourth proportional to 37,690.24, 56,535.12 and 9,988 is: 14,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,690.24 : 56,535.12 = 9,988 : x
  2. Step 2: Convert to fraction form
    37,690.24/56,535.12 = 9,988/x
  3. Step 3: Cross multiply
    37,690.24x = 56,535.12 × 9,988
  4. Step 4: Simplify right side
    37,690.24x = 564,672,778.56
  5. Step 5: Solve for x
    x = 564,672,778.56/37,690.24
  6. Step 6: Final answer
    x = 14,981.94

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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.