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Finding the Fourth Proportional to 101,522.52, 152,319.84 and 45,357.48

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Solution

The fourth proportional to 101,522.52, 152,319.84 and 45,357.48 is: 68,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,522.52 : 152,319.84 = 45,357.48 : x
  2. Step 2: Convert to fraction form
    101,522.52/152,319.84 = 45,357.48/x
  3. Step 3: Cross multiply
    101,522.52x = 152,319.84 × 45,357.48
  4. Step 4: Simplify right side
    101,522.52x = 6,908,844,096.40
  5. Step 5: Solve for x
    x = 6,908,844,096.40/101,522.52
  6. Step 6: Final answer
    x = 68,052.33

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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.