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Finding the Fourth Proportional to 75,280.32, 112,939.02 and 53,136.95

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Solution

The fourth proportional to 75,280.32, 112,939.02 and 53,136.95 is: 79,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,280.32 : 112,939.02 = 53,136.95 : x
  2. Step 2: Convert to fraction form
    75,280.32/112,939.02 = 53,136.95/x
  3. Step 3: Cross multiply
    75,280.32x = 112,939.02 × 53,136.95
  4. Step 4: Simplify right side
    75,280.32x = 6,001,234,494.09
  5. Step 5: Solve for x
    x = 6,001,234,494.09/75,280.32
  6. Step 6: Final answer
    x = 79,718.50

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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.