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Finding the Fourth Proportional to 38,497.40, 57,746.10 and 34,196.60

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Solution

The fourth proportional to 38,497.40, 57,746.10 and 34,196.60 is: 51,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.40 : 57,746.10 = 34,196.60 : x
  2. Step 2: Convert to fraction form
    38,497.40/57,746.10 = 34,196.60/x
  3. Step 3: Cross multiply
    38,497.40x = 57,746.10 × 34,196.60
  4. Step 4: Simplify right side
    38,497.40x = 1,974,720,283.26
  5. Step 5: Solve for x
    x = 1,974,720,283.26/38,497.40
  6. Step 6: Final answer
    x = 51,294.90

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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.