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Finding the Fourth Proportional to 107,216.46, 160,848.05 and 32,330.88

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Solution

The fourth proportional to 107,216.46, 160,848.05 and 32,330.88 is: 48,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,216.46 : 160,848.05 = 32,330.88 : x
  2. Step 2: Convert to fraction form
    107,216.46/160,848.05 = 32,330.88/x
  3. Step 3: Cross multiply
    107,216.46x = 160,848.05 × 32,330.88
  4. Step 4: Simplify right side
    107,216.46x = 5,200,358,841.13
  5. Step 5: Solve for x
    x = 5,200,358,841.13/107,216.46
  6. Step 6: Final answer
    x = 48,503.36

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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.