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Finding the Fourth Proportional to 28,156.61, 42,244.29 and 9,438.50

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Solution

The fourth proportional to 28,156.61, 42,244.29 and 9,438.50 is: 14,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,156.61 : 42,244.29 = 9,438.50 : x
  2. Step 2: Convert to fraction form
    28,156.61/42,244.29 = 9,438.50/x
  3. Step 3: Cross multiply
    28,156.61x = 42,244.29 × 9,438.50
  4. Step 4: Simplify right side
    28,156.61x = 398,722,519.94
  5. Step 5: Solve for x
    x = 398,722,519.94/28,156.61
  6. Step 6: Final answer
    x = 14,160.89

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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.