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Finding the Fourth Proportional to 82,503.16, 123,754.74 and 29,234.22

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Solution

The fourth proportional to 82,503.16, 123,754.74 and 29,234.22 is: 43,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,503.16 : 123,754.74 = 29,234.22 : x
  2. Step 2: Convert to fraction form
    82,503.16/123,754.74 = 29,234.22/x
  3. Step 3: Cross multiply
    82,503.16x = 123,754.74 × 29,234.22
  4. Step 4: Simplify right side
    82,503.16x = 3,617,872,721.49
  5. Step 5: Solve for x
    x = 3,617,872,721.49/82,503.16
  6. Step 6: Final answer
    x = 43,851.32

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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.