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Finding the Fourth Proportional to 31,673.57, 47,521.80 and 14,821.43

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Solution

The fourth proportional to 31,673.57, 47,521.80 and 14,821.43 is: 22,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673.57 : 47,521.80 = 14,821.43 : x
  2. Step 2: Convert to fraction form
    31,673.57/47,521.80 = 14,821.43/x
  3. Step 3: Cross multiply
    31,673.57x = 47,521.80 × 14,821.43
  4. Step 4: Simplify right side
    31,673.57x = 704,341,032.17
  5. Step 5: Solve for x
    x = 704,341,032.17/31,673.57
  6. Step 6: Final answer
    x = 22,237.50

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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.