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Finding the Fourth Proportional to 31,730.44, 47,598.02 and 9,542.04

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Solution

The fourth proportional to 31,730.44, 47,598.02 and 9,542.04 is: 14,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,730.44 : 47,598.02 = 9,542.04 : x
  2. Step 2: Convert to fraction form
    31,730.44/47,598.02 = 9,542.04/x
  3. Step 3: Cross multiply
    31,730.44x = 47,598.02 × 9,542.04
  4. Step 4: Simplify right side
    31,730.44x = 454,182,210.76
  5. Step 5: Solve for x
    x = 454,182,210.76/31,730.44
  6. Step 6: Final answer
    x = 14,313.77

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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.