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Finding the Fourth Proportional to 75,152.85, 112,675.88 and 37,685.90

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Solution

The fourth proportional to 75,152.85, 112,675.88 and 37,685.90 is: 56,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,152.85 : 112,675.88 = 37,685.90 : x
  2. Step 2: Convert to fraction form
    75,152.85/112,675.88 = 37,685.90/x
  3. Step 3: Cross multiply
    75,152.85x = 112,675.88 × 37,685.90
  4. Step 4: Simplify right side
    75,152.85x = 4,246,291,476.93
  5. Step 5: Solve for x
    x = 4,246,291,476.93/75,152.85
  6. Step 6: Final answer
    x = 56,502.07

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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.