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Finding the Fourth Proportional to 31,549.65, 47,323.41 and 7,857.15

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Solution

The fourth proportional to 31,549.65, 47,323.41 and 7,857.15 is: 11,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.65 : 47,323.41 = 7,857.15 : x
  2. Step 2: Convert to fraction form
    31,549.65/47,323.41 = 7,857.15/x
  3. Step 3: Cross multiply
    31,549.65x = 47,323.41 × 7,857.15
  4. Step 4: Simplify right side
    31,549.65x = 371,827,130.88
  5. Step 5: Solve for x
    x = 371,827,130.88/31,549.65
  6. Step 6: Final answer
    x = 11,785.46

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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.