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Finding the Fourth Proportional to 38,117.60, 57,169.44 and 10,415.36

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Solution

The fourth proportional to 38,117.60, 57,169.44 and 10,415.36 is: 15,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,117.60 : 57,169.44 = 10,415.36 : x
  2. Step 2: Convert to fraction form
    38,117.60/57,169.44 = 10,415.36/x
  3. Step 3: Cross multiply
    38,117.60x = 57,169.44 × 10,415.36
  4. Step 4: Simplify right side
    38,117.60x = 595,440,298.60
  5. Step 5: Solve for x
    x = 595,440,298.60/38,117.60
  6. Step 6: Final answer
    x = 15,621.14

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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.