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Finding the Fourth Proportional to 82,891, 124,189.08 and 47,758.06

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Solution

The fourth proportional to 82,891, 124,189.08 and 47,758.06 is: 71,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,891 : 124,189.08 = 47,758.06 : x
  2. Step 2: Convert to fraction form
    82,891/124,189.08 = 47,758.06/x
  3. Step 3: Cross multiply
    82,891x = 124,189.08 × 47,758.06
  4. Step 4: Simplify right side
    82,891x = 5,931,029,533.98
  5. Step 5: Solve for x
    x = 5,931,029,533.98/82,891
  6. Step 6: Final answer
    x = 71,552.15

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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.