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Finding the Fourth Proportional to 97,737.98, 146,609.70 and 34,549.17

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Solution

The fourth proportional to 97,737.98, 146,609.70 and 34,549.17 is: 51,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,737.98 : 146,609.70 = 34,549.17 : x
  2. Step 2: Convert to fraction form
    97,737.98/146,609.70 = 34,549.17/x
  3. Step 3: Cross multiply
    97,737.98x = 146,609.70 × 34,549.17
  4. Step 4: Simplify right side
    97,737.98x = 5,065,242,769.60
  5. Step 5: Solve for x
    x = 5,065,242,769.60/97,737.98
  6. Step 6: Final answer
    x = 51,824.72

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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.