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Finding the Fourth Proportional to 101,871.16, 152,772.12 and 35,295.74

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Solution

The fourth proportional to 101,871.16, 152,772.12 and 35,295.74 is: 52,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,871.16 : 152,772.12 = 35,295.74 : x
  2. Step 2: Convert to fraction form
    101,871.16/152,772.12 = 35,295.74/x
  3. Step 3: Cross multiply
    101,871.16x = 152,772.12 × 35,295.74
  4. Step 4: Simplify right side
    101,871.16x = 5,392,205,408.70
  5. Step 5: Solve for x
    x = 5,392,205,408.70/101,871.16
  6. Step 6: Final answer
    x = 52,931.62

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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.