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Finding the Fourth Proportional to 31,552.08, 47,396.80 and 19,077.98

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Solution

The fourth proportional to 31,552.08, 47,396.80 and 19,077.98 is: 28,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552.08 : 47,396.80 = 19,077.98 : x
  2. Step 2: Convert to fraction form
    31,552.08/47,396.80 = 19,077.98/x
  3. Step 3: Cross multiply
    31,552.08x = 47,396.80 × 19,077.98
  4. Step 4: Simplify right side
    31,552.08x = 904,235,202.46
  5. Step 5: Solve for x
    x = 904,235,202.46/31,552.08
  6. Step 6: Final answer
    x = 28,658.50

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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.