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Finding the Fourth Proportional to 31,482.98, 47,212.17 and 12,758.18

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Solution

The fourth proportional to 31,482.98, 47,212.17 and 12,758.18 is: 19,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.98 : 47,212.17 = 12,758.18 : x
  2. Step 2: Convert to fraction form
    31,482.98/47,212.17 = 12,758.18/x
  3. Step 3: Cross multiply
    31,482.98x = 47,212.17 × 12,758.18
  4. Step 4: Simplify right side
    31,482.98x = 602,341,363.05
  5. Step 5: Solve for x
    x = 602,341,363.05/31,482.98
  6. Step 6: Final answer
    x = 19,132.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.