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Finding the Fourth Proportional to 85,314.72, 127,970.88 and 38,534.88

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Solution

The fourth proportional to 85,314.72, 127,970.88 and 38,534.88 is: 57,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,314.72 : 127,970.88 = 38,534.88 : x
  2. Step 2: Convert to fraction form
    85,314.72/127,970.88 = 38,534.88/x
  3. Step 3: Cross multiply
    85,314.72x = 127,970.88 × 38,534.88
  4. Step 4: Simplify right side
    85,314.72x = 4,931,342,504.29
  5. Step 5: Solve for x
    x = 4,931,342,504.29/85,314.72
  6. Step 6: Final answer
    x = 57,801.78

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1.5x scale

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.