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Finding the Fourth Proportional to 107,032.58, 160,581.26 and 40,493.10

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Solution

The fourth proportional to 107,032.58, 160,581.26 and 40,493.10 is: 60,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,032.58 : 160,581.26 = 40,493.10 : x
  2. Step 2: Convert to fraction form
    107,032.58/160,581.26 = 40,493.10/x
  3. Step 3: Cross multiply
    107,032.58x = 160,581.26 × 40,493.10
  4. Step 4: Simplify right side
    107,032.58x = 6,502,433,019.31
  5. Step 5: Solve for x
    x = 6,502,433,019.31/107,032.58
  6. Step 6: Final answer
    x = 60,751.90

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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.