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Finding the Fourth Proportional to 59,146.30, 88,716.84 and 19,702

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Solution

The fourth proportional to 59,146.30, 88,716.84 and 19,702 is: 29,552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,146.30 : 88,716.84 = 19,702 : x
  2. Step 2: Convert to fraction form
    59,146.30/88,716.84 = 19,702/x
  3. Step 3: Cross multiply
    59,146.30x = 88,716.84 × 19,702
  4. Step 4: Simplify right side
    59,146.30x = 1,747,899,181.68
  5. Step 5: Solve for x
    x = 1,747,899,181.68/59,146.30
  6. Step 6: Final answer
    x = 29,552.13

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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.