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Finding the Fourth Proportional to 31,509.94, 47,264.91 and 29,585.38

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Solution

The fourth proportional to 31,509.94, 47,264.91 and 29,585.38 is: 44,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.94 : 47,264.91 = 29,585.38 : x
  2. Step 2: Convert to fraction form
    31,509.94/47,264.91 = 29,585.38/x
  3. Step 3: Cross multiply
    31,509.94x = 47,264.91 × 29,585.38
  4. Step 4: Simplify right side
    31,509.94x = 1,398,350,323.02
  5. Step 5: Solve for x
    x = 1,398,350,323.02/31,509.94
  6. Step 6: Final answer
    x = 44,378.07

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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.