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Finding the Fourth Proportional to 97,602.60, 146,306.70 and 44,920.20

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Solution

The fourth proportional to 97,602.60, 146,306.70 and 44,920.20 is: 67,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,602.60 : 146,306.70 = 44,920.20 : x
  2. Step 2: Convert to fraction form
    97,602.60/146,306.70 = 44,920.20/x
  3. Step 3: Cross multiply
    97,602.60x = 146,306.70 × 44,920.20
  4. Step 4: Simplify right side
    97,602.60x = 6,572,126,225.34
  5. Step 5: Solve for x
    x = 6,572,126,225.34/97,602.60
  6. Step 6: Final answer
    x = 67,335.57

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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.