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Finding the Fourth Proportional to 31,362.93, 47,034.47 and 10,299.50

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Solution

The fourth proportional to 31,362.93, 47,034.47 and 10,299.50 is: 15,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362.93 : 47,034.47 = 10,299.50 : x
  2. Step 2: Convert to fraction form
    31,362.93/47,034.47 = 10,299.50/x
  3. Step 3: Cross multiply
    31,362.93x = 47,034.47 × 10,299.50
  4. Step 4: Simplify right side
    31,362.93x = 484,431,314.34
  5. Step 5: Solve for x
    x = 484,431,314.34/31,362.93
  6. Step 6: Final answer
    x = 15,445.98

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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.