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Finding the Fourth Proportional to 31,818.50, 47,719.86 and 10,758.08

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Solution

The fourth proportional to 31,818.50, 47,719.86 and 10,758.08 is: 16,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,818.50 : 47,719.86 = 10,758.08 : x
  2. Step 2: Convert to fraction form
    31,818.50/47,719.86 = 10,758.08/x
  3. Step 3: Cross multiply
    31,818.50x = 47,719.86 × 10,758.08
  4. Step 4: Simplify right side
    31,818.50x = 513,374,071.47
  5. Step 5: Solve for x
    x = 513,374,071.47/31,818.50
  6. Step 6: Final answer
    x = 16,134.45

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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.