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Finding the Fourth Proportional to 28,049.32, 42,065.34 and 9,577

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Solution

The fourth proportional to 28,049.32, 42,065.34 and 9,577 is: 14,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,049.32 : 42,065.34 = 9,577 : x
  2. Step 2: Convert to fraction form
    28,049.32/42,065.34 = 9,577/x
  3. Step 3: Cross multiply
    28,049.32x = 42,065.34 × 9,577
  4. Step 4: Simplify right side
    28,049.32x = 402,859,761.18
  5. Step 5: Solve for x
    x = 402,859,761.18/28,049.32
  6. Step 6: Final answer
    x = 14,362.55

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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.