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Finding the Fourth Proportional to 31,832.84, 47,752.14 and 9,646.28

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Solution

The fourth proportional to 31,832.84, 47,752.14 and 9,646.28 is: 14,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.84 : 47,752.14 = 9,646.28 : x
  2. Step 2: Convert to fraction form
    31,832.84/47,752.14 = 9,646.28/x
  3. Step 3: Cross multiply
    31,832.84x = 47,752.14 × 9,646.28
  4. Step 4: Simplify right side
    31,832.84x = 460,630,513.04
  5. Step 5: Solve for x
    x = 460,630,513.04/31,832.84
  6. Step 6: Final answer
    x = 14,470.29

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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.