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Finding the Fourth Proportional to 101,353.46, 152,046.52 and 31,232.74

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Solution

The fourth proportional to 101,353.46, 152,046.52 and 31,232.74 is: 46,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,353.46 : 152,046.52 = 31,232.74 : x
  2. Step 2: Convert to fraction form
    101,353.46/152,046.52 = 31,232.74/x
  3. Step 3: Cross multiply
    101,353.46x = 152,046.52 × 31,232.74
  4. Step 4: Simplify right side
    101,353.46x = 4,748,829,427.06
  5. Step 5: Solve for x
    x = 4,748,829,427.06/101,353.46
  6. Step 6: Final answer
    x = 46,854.14

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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.