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Finding the Fourth Proportional to 31,574.65, 47,369.55 and 10,514.88

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Solution

The fourth proportional to 31,574.65, 47,369.55 and 10,514.88 is: 15,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,574.65 : 47,369.55 = 10,514.88 : x
  2. Step 2: Convert to fraction form
    31,574.65/47,369.55 = 10,514.88/x
  3. Step 3: Cross multiply
    31,574.65x = 47,369.55 × 10,514.88
  4. Step 4: Simplify right side
    31,574.65x = 498,084,888.63
  5. Step 5: Solve for x
    x = 498,084,888.63/31,574.65
  6. Step 6: Final answer
    x = 15,774.83

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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.