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Finding the Fourth Proportional to 101,503.32, 152,265.21 and 34,934.70

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Solution

The fourth proportional to 101,503.32, 152,265.21 and 34,934.70 is: 52,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,503.32 : 152,265.21 = 34,934.70 : x
  2. Step 2: Convert to fraction form
    101,503.32/152,265.21 = 34,934.70/x
  3. Step 3: Cross multiply
    101,503.32x = 152,265.21 × 34,934.70
  4. Step 4: Simplify right side
    101,503.32x = 5,319,339,431.79
  5. Step 5: Solve for x
    x = 5,319,339,431.79/101,503.32
  6. Step 6: Final answer
    x = 52,405.57

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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.