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Finding the Fourth Proportional to 91,782.40, 137,714.90 and 49,613.10

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Solution

The fourth proportional to 91,782.40, 137,714.90 and 49,613.10 is: 74,441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,782.40 : 137,714.90 = 49,613.10 : x
  2. Step 2: Convert to fraction form
    91,782.40/137,714.90 = 49,613.10/x
  3. Step 3: Cross multiply
    91,782.40x = 137,714.90 × 49,613.10
  4. Step 4: Simplify right side
    91,782.40x = 6,832,463,105.19
  5. Step 5: Solve for x
    x = 6,832,463,105.19/91,782.40
  6. Step 6: Final answer
    x = 74,441.97

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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.