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Finding the Fourth Proportional to 97,681.60, 146,503.20 and 32,017.60

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Solution

The fourth proportional to 97,681.60, 146,503.20 and 32,017.60 is: 48,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,681.60 : 146,503.20 = 32,017.60 : x
  2. Step 2: Convert to fraction form
    97,681.60/146,503.20 = 32,017.60/x
  3. Step 3: Cross multiply
    97,681.60x = 146,503.20 × 32,017.60
  4. Step 4: Simplify right side
    97,681.60x = 4,690,680,856.32
  5. Step 5: Solve for x
    x = 4,690,680,856.32/97,681.60
  6. Step 6: Final answer
    x = 48,020.11

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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.