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Finding the Fourth Proportional to 27,607.50, 38,098.35 and 15,032.25

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Solution

The fourth proportional to 27,607.50, 38,098.35 and 15,032.25 is: 20,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,607.50 : 38,098.35 = 15,032.25 : x
  2. Step 2: Convert to fraction form
    27,607.50/38,098.35 = 15,032.25/x
  3. Step 3: Cross multiply
    27,607.50x = 38,098.35 × 15,032.25
  4. Step 4: Simplify right side
    27,607.50x = 572,703,921.79
  5. Step 5: Solve for x
    x = 572,703,921.79/27,607.50
  6. Step 6: Final answer
    x = 20,744.51

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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.