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Finding the Fourth Proportional to 76,617.66, 114,926.49 and 24,031.74

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Solution

The fourth proportional to 76,617.66, 114,926.49 and 24,031.74 is: 36,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,617.66 : 114,926.49 = 24,031.74 : x
  2. Step 2: Convert to fraction form
    76,617.66/114,926.49 = 24,031.74/x
  3. Step 3: Cross multiply
    76,617.66x = 114,926.49 × 24,031.74
  4. Step 4: Simplify right side
    76,617.66x = 2,761,883,526.79
  5. Step 5: Solve for x
    x = 2,761,883,526.79/76,617.66
  6. Step 6: Final answer
    x = 36,047.61

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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.