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Finding the Fourth Proportional to 39,458.80, 59,188.12 and 9,876.58

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Solution

The fourth proportional to 39,458.80, 59,188.12 and 9,876.58 is: 14,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,458.80 : 59,188.12 = 9,876.58 : x
  2. Step 2: Convert to fraction form
    39,458.80/59,188.12 = 9,876.58/x
  3. Step 3: Cross multiply
    39,458.80x = 59,188.12 × 9,876.58
  4. Step 4: Simplify right side
    39,458.80x = 584,576,362.50
  5. Step 5: Solve for x
    x = 584,576,362.50/39,458.80
  6. Step 6: Final answer
    x = 14,814.86

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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.