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Finding the Fourth Proportional to 57,434.16, 86,151 and 15,314.16

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Solution

The fourth proportional to 57,434.16, 86,151 and 15,314.16 is: 22,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,434.16 : 86,151 = 15,314.16 : x
  2. Step 2: Convert to fraction form
    57,434.16/86,151 = 15,314.16/x
  3. Step 3: Cross multiply
    57,434.16x = 86,151 × 15,314.16
  4. Step 4: Simplify right side
    57,434.16x = 1,319,330,198.16
  5. Step 5: Solve for x
    x = 1,319,330,198.16/57,434.16
  6. Step 6: Final answer
    x = 22,971.18

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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.