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Finding the Fourth Proportional to 107,642.40, 161,386.80 and 48,429.60

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Solution

The fourth proportional to 107,642.40, 161,386.80 and 48,429.60 is: 72,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,642.40 : 161,386.80 = 48,429.60 : x
  2. Step 2: Convert to fraction form
    107,642.40/161,386.80 = 48,429.60/x
  3. Step 3: Cross multiply
    107,642.40x = 161,386.80 × 48,429.60
  4. Step 4: Simplify right side
    107,642.40x = 7,815,898,169.28
  5. Step 5: Solve for x
    x = 7,815,898,169.28/107,642.40
  6. Step 6: Final answer
    x = 72,609.85

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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.