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Finding the Fourth Proportional to 38,125.90, 57,160 and 17,040.40

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Solution

The fourth proportional to 38,125.90, 57,160 and 17,040.40 is: 25,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,125.90 : 57,160 = 17,040.40 : x
  2. Step 2: Convert to fraction form
    38,125.90/57,160 = 17,040.40/x
  3. Step 3: Cross multiply
    38,125.90x = 57,160 × 17,040.40
  4. Step 4: Simplify right side
    38,125.90x = 974,029,264.00
  5. Step 5: Solve for x
    x = 974,029,264.00/38,125.90
  6. Step 6: Final answer
    x = 25,547.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.