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Finding the Fourth Proportional to 31,001.48, 42,782 and 16,854.44

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Solution

The fourth proportional to 31,001.48, 42,782 and 16,854.44 is: 23,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001.48 : 42,782 = 16,854.44 : x
  2. Step 2: Convert to fraction form
    31,001.48/42,782 = 16,854.44/x
  3. Step 3: Cross multiply
    31,001.48x = 42,782 × 16,854.44
  4. Step 4: Simplify right side
    31,001.48x = 721,066,652.08
  5. Step 5: Solve for x
    x = 721,066,652.08/31,001.48
  6. Step 6: Final answer
    x = 23,259.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.