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Finding the Fourth Proportional to 31,012.98, 42,798.24 and 16,865.82

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Solution

The fourth proportional to 31,012.98, 42,798.24 and 16,865.82 is: 23,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.98 : 42,798.24 = 16,865.82 : x
  2. Step 2: Convert to fraction form
    31,012.98/42,798.24 = 16,865.82/x
  3. Step 3: Cross multiply
    31,012.98x = 42,798.24 × 16,865.82
  4. Step 4: Simplify right side
    31,012.98x = 721,827,412.16
  5. Step 5: Solve for x
    x = 721,827,412.16/31,012.98
  6. Step 6: Final answer
    x = 23,275.01

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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.