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Finding the Fourth Proportional to 31,242.28, 46,870.36 and 9,056.56

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Solution

The fourth proportional to 31,242.28, 46,870.36 and 9,056.56 is: 13,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.28 : 46,870.36 = 9,056.56 : x
  2. Step 2: Convert to fraction form
    31,242.28/46,870.36 = 9,056.56/x
  3. Step 3: Cross multiply
    31,242.28x = 46,870.36 × 9,056.56
  4. Step 4: Simplify right side
    31,242.28x = 424,484,227.56
  5. Step 5: Solve for x
    x = 424,484,227.56/31,242.28
  6. Step 6: Final answer
    x = 13,586.85

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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.