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Finding the Fourth Proportional to 77,136.60, 115,704.90 and 24,551.40

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Solution

The fourth proportional to 77,136.60, 115,704.90 and 24,551.40 is: 36,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,136.60 : 115,704.90 = 24,551.40 : x
  2. Step 2: Convert to fraction form
    77,136.60/115,704.90 = 24,551.40/x
  3. Step 3: Cross multiply
    77,136.60x = 115,704.90 × 24,551.40
  4. Step 4: Simplify right side
    77,136.60x = 2,840,717,281.86
  5. Step 5: Solve for x
    x = 2,840,717,281.86/77,136.60
  6. Step 6: Final answer
    x = 36,827.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.