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Finding the Fourth Proportional to 51,931.62, 77,908.95 and 24,214.50

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Solution

The fourth proportional to 51,931.62, 77,908.95 and 24,214.50 is: 36,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,931.62 : 77,908.95 = 24,214.50 : x
  2. Step 2: Convert to fraction form
    51,931.62/77,908.95 = 24,214.50/x
  3. Step 3: Cross multiply
    51,931.62x = 77,908.95 × 24,214.50
  4. Step 4: Simplify right side
    51,931.62x = 1,886,526,269.78
  5. Step 5: Solve for x
    x = 1,886,526,269.78/51,931.62
  6. Step 6: Final answer
    x = 36,327.12

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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.