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Finding the Fourth Proportional to 31,354.50, 47,017.62 and 22,552.50

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Solution

The fourth proportional to 31,354.50, 47,017.62 and 22,552.50 is: 33,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,354.50 : 47,017.62 = 22,552.50 : x
  2. Step 2: Convert to fraction form
    31,354.50/47,017.62 = 22,552.50/x
  3. Step 3: Cross multiply
    31,354.50x = 47,017.62 × 22,552.50
  4. Step 4: Simplify right side
    31,354.50x = 1,060,364,875.05
  5. Step 5: Solve for x
    x = 1,060,364,875.05/31,354.50
  6. Step 6: Final answer
    x = 33,818.59

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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.