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Finding the Fourth Proportional to 101,506.46, 152,269.92 and 34,937.84

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Solution

The fourth proportional to 101,506.46, 152,269.92 and 34,937.84 is: 52,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,506.46 : 152,269.92 = 34,937.84 : x
  2. Step 2: Convert to fraction form
    101,506.46/152,269.92 = 34,937.84/x
  3. Step 3: Cross multiply
    101,506.46x = 152,269.92 × 34,937.84
  4. Step 4: Simplify right side
    101,506.46x = 5,319,982,101.77
  5. Step 5: Solve for x
    x = 5,319,982,101.77/101,506.46
  6. Step 6: Final answer
    x = 52,410.28

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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.