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Finding the Fourth Proportional to 31,475.64, 43,421.16 and 19,552.80

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Solution

The fourth proportional to 31,475.64, 43,421.16 and 19,552.80 is: 26,973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,475.64 : 43,421.16 = 19,552.80 : x
  2. Step 2: Convert to fraction form
    31,475.64/43,421.16 = 19,552.80/x
  3. Step 3: Cross multiply
    31,475.64x = 43,421.16 × 19,552.80
  4. Step 4: Simplify right side
    31,475.64x = 849,005,257.25
  5. Step 5: Solve for x
    x = 849,005,257.25/31,475.64
  6. Step 6: Final answer
    x = 26,973.41

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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.