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Finding the Fourth Proportional to 31,191.04, 46,793.58 and 10,414

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Solution

The fourth proportional to 31,191.04, 46,793.58 and 10,414 is: 15,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191.04 : 46,793.58 = 10,414 : x
  2. Step 2: Convert to fraction form
    31,191.04/46,793.58 = 10,414/x
  3. Step 3: Cross multiply
    31,191.04x = 46,793.58 × 10,414
  4. Step 4: Simplify right side
    31,191.04x = 487,308,342.12
  5. Step 5: Solve for x
    x = 487,308,342.12/31,191.04
  6. Step 6: Final answer
    x = 15,623.34

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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.