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Finding the Fourth Proportional to 67,036.71, 100,549.85 and 31,505.80

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Solution

The fourth proportional to 67,036.71, 100,549.85 and 31,505.80 is: 47,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,036.71 : 100,549.85 = 31,505.80 : x
  2. Step 2: Convert to fraction form
    67,036.71/100,549.85 = 31,505.80/x
  3. Step 3: Cross multiply
    67,036.71x = 100,549.85 × 31,505.80
  4. Step 4: Simplify right side
    67,036.71x = 3,167,903,464.13
  5. Step 5: Solve for x
    x = 3,167,903,464.13/67,036.71
  6. Step 6: Final answer
    x = 47,256.25

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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.