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Finding the Fourth Proportional to 31,570.90, 47,363.76 and 9,384.46

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Solution

The fourth proportional to 31,570.90, 47,363.76 and 9,384.46 is: 14,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,570.90 : 47,363.76 = 9,384.46 : x
  2. Step 2: Convert to fraction form
    31,570.90/47,363.76 = 9,384.46/x
  3. Step 3: Cross multiply
    31,570.90x = 47,363.76 × 9,384.46
  4. Step 4: Simplify right side
    31,570.90x = 444,483,311.17
  5. Step 5: Solve for x
    x = 444,483,311.17/31,570.90
  6. Step 6: Final answer
    x = 14,078.89

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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.