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Finding the Fourth Proportional to 100,534.57, 150,801.77 and 25,654.72

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Solution

The fourth proportional to 100,534.57, 150,801.77 and 25,654.72 is: 38,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,534.57 : 150,801.77 = 25,654.72 : x
  2. Step 2: Convert to fraction form
    100,534.57/150,801.77 = 25,654.72/x
  3. Step 3: Cross multiply
    100,534.57x = 150,801.77 × 25,654.72
  4. Step 4: Simplify right side
    100,534.57x = 3,868,776,981.72
  5. Step 5: Solve for x
    x = 3,868,776,981.72/100,534.57
  6. Step 6: Final answer
    x = 38,482.05

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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.