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Finding the Fourth Proportional to 31,341.96, 47,019.42 and 10,567.08

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Solution

The fourth proportional to 31,341.96, 47,019.42 and 10,567.08 is: 15,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,341.96 : 47,019.42 = 10,567.08 : x
  2. Step 2: Convert to fraction form
    31,341.96/47,019.42 = 10,567.08/x
  3. Step 3: Cross multiply
    31,341.96x = 47,019.42 × 10,567.08
  4. Step 4: Simplify right side
    31,341.96x = 496,857,972.69
  5. Step 5: Solve for x
    x = 496,857,972.69/31,341.96
  6. Step 6: Final answer
    x = 15,852.80

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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.