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Finding the Fourth Proportional to 31,407.06, 47,107.08 and 9,220.62

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Solution

The fourth proportional to 31,407.06, 47,107.08 and 9,220.62 is: 13,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.06 : 47,107.08 = 9,220.62 : x
  2. Step 2: Convert to fraction form
    31,407.06/47,107.08 = 9,220.62/x
  3. Step 3: Cross multiply
    31,407.06x = 47,107.08 × 9,220.62
  4. Step 4: Simplify right side
    31,407.06x = 434,356,483.99
  5. Step 5: Solve for x
    x = 434,356,483.99/31,407.06
  6. Step 6: Final answer
    x = 13,829.90

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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.