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Finding the Fourth Proportional to 82,393.32, 113,620.90 and 62,024.16

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Solution

The fourth proportional to 82,393.32, 113,620.90 and 62,024.16 is: 85,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,393.32 : 113,620.90 = 62,024.16 : x
  2. Step 2: Convert to fraction form
    82,393.32/113,620.90 = 62,024.16/x
  3. Step 3: Cross multiply
    82,393.32x = 113,620.90 × 62,024.16
  4. Step 4: Simplify right side
    82,393.32x = 7,047,240,880.94
  5. Step 5: Solve for x
    x = 7,047,240,880.94/82,393.32
  6. Step 6: Final answer
    x = 85,531.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.