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Finding the Fourth Proportional to 42,512.50, 63,758.76 and 17,527.78

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Solution

The fourth proportional to 42,512.50, 63,758.76 and 17,527.78 is: 26,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,512.50 : 63,758.76 = 17,527.78 : x
  2. Step 2: Convert to fraction form
    42,512.50/63,758.76 = 17,527.78/x
  3. Step 3: Cross multiply
    42,512.50x = 63,758.76 × 17,527.78
  4. Step 4: Simplify right side
    42,512.50x = 1,117,549,518.35
  5. Step 5: Solve for x
    x = 1,117,549,518.35/42,512.50
  6. Step 6: Final answer
    x = 26,287.55

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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.