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Finding the Fourth Proportional to 31,570.84, 43,567.86 and 17,424.52

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Solution

The fourth proportional to 31,570.84, 43,567.86 and 17,424.52 is: 24,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,570.84 : 43,567.86 = 17,424.52 : x
  2. Step 2: Convert to fraction form
    31,570.84/43,567.86 = 17,424.52/x
  3. Step 3: Cross multiply
    31,570.84x = 43,567.86 × 17,424.52
  4. Step 4: Simplify right side
    31,570.84x = 759,149,047.93
  5. Step 5: Solve for x
    x = 759,149,047.93/31,570.84
  6. Step 6: Final answer
    x = 24,045.89

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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.