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Finding the Fourth Proportional to 31,813.14, 47,686.88 and 14,287.98

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Solution

The fourth proportional to 31,813.14, 47,686.88 and 14,287.98 is: 21,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.14 : 47,686.88 = 14,287.98 : x
  2. Step 2: Convert to fraction form
    31,813.14/47,686.88 = 14,287.98/x
  3. Step 3: Cross multiply
    31,813.14x = 47,686.88 × 14,287.98
  4. Step 4: Simplify right side
    31,813.14x = 681,349,187.70
  5. Step 5: Solve for x
    x = 681,349,187.70/31,813.14
  6. Step 6: Final answer
    x = 21,417.23

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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.