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Finding the Fourth Proportional to 31,421.40, 47,093.22 and 15,830.52

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Solution

The fourth proportional to 31,421.40, 47,093.22 and 15,830.52 is: 23,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,421.40 : 47,093.22 = 15,830.52 : x
  2. Step 2: Convert to fraction form
    31,421.40/47,093.22 = 15,830.52/x
  3. Step 3: Cross multiply
    31,421.40x = 47,093.22 × 15,830.52
  4. Step 4: Simplify right side
    31,421.40x = 745,510,161.07
  5. Step 5: Solve for x
    x = 745,510,161.07/31,421.40
  6. Step 6: Final answer
    x = 23,726.19

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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.