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Finding the Fourth Proportional to 107,641.75, 161,503.65 and 48,463.81

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Solution

The fourth proportional to 107,641.75, 161,503.65 and 48,463.81 is: 72,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,641.75 : 161,503.65 = 48,463.81 : x
  2. Step 2: Convert to fraction form
    107,641.75/161,503.65 = 48,463.81/x
  3. Step 3: Cross multiply
    107,641.75x = 161,503.65 × 48,463.81
  4. Step 4: Simplify right side
    107,641.75x = 7,827,082,207.91
  5. Step 5: Solve for x
    x = 7,827,082,207.91/107,641.75
  6. Step 6: Final answer
    x = 72,714.19

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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.