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Finding the Fourth Proportional to 95,098.66, 142,647.84 and 28,538.66

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Solution

The fourth proportional to 95,098.66, 142,647.84 and 28,538.66 is: 42,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,098.66 : 142,647.84 = 28,538.66 : x
  2. Step 2: Convert to fraction form
    95,098.66/142,647.84 = 28,538.66/x
  3. Step 3: Cross multiply
    95,098.66x = 142,647.84 × 28,538.66
  4. Step 4: Simplify right side
    95,098.66x = 4,070,978,205.49
  5. Step 5: Solve for x
    x = 4,070,978,205.49/95,098.66
  6. Step 6: Final answer
    x = 42,807.94

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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.