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Finding the Fourth Proportional to 38,209.19, 57,307.50 and 10,130.97

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Solution

The fourth proportional to 38,209.19, 57,307.50 and 10,130.97 is: 15,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.19 : 57,307.50 = 10,130.97 : x
  2. Step 2: Convert to fraction form
    38,209.19/57,307.50 = 10,130.97/x
  3. Step 3: Cross multiply
    38,209.19x = 57,307.50 × 10,130.97
  4. Step 4: Simplify right side
    38,209.19x = 580,580,778.18
  5. Step 5: Solve for x
    x = 580,580,778.18/38,209.19
  6. Step 6: Final answer
    x = 15,194.80

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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.