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Finding the Fourth Proportional to 38,077.16, 57,119.62 and 13,113.96

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Solution

The fourth proportional to 38,077.16, 57,119.62 and 13,113.96 is: 19,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,077.16 : 57,119.62 = 13,113.96 : x
  2. Step 2: Convert to fraction form
    38,077.16/57,119.62 = 13,113.96/x
  3. Step 3: Cross multiply
    38,077.16x = 57,119.62 × 13,113.96
  4. Step 4: Simplify right side
    38,077.16x = 749,064,411.90
  5. Step 5: Solve for x
    x = 749,064,411.90/38,077.16
  6. Step 6: Final answer
    x = 19,672.28

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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.