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Finding the Fourth Proportional to 27,587.88, 37,975.20 and 24,045

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Solution

The fourth proportional to 27,587.88, 37,975.20 and 24,045 is: 33,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,587.88 : 37,975.20 = 24,045 : x
  2. Step 2: Convert to fraction form
    27,587.88/37,975.20 = 24,045/x
  3. Step 3: Cross multiply
    27,587.88x = 37,975.20 × 24,045
  4. Step 4: Simplify right side
    27,587.88x = 913,113,684.00
  5. Step 5: Solve for x
    x = 913,113,684.00/27,587.88
  6. Step 6: Final answer
    x = 33,098.36

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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.