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Finding the Fourth Proportional to 38,064.19, 57,100.11 and 13,100.95

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Solution

The fourth proportional to 38,064.19, 57,100.11 and 13,100.95 is: 19,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064.19 : 57,100.11 = 13,100.95 : x
  2. Step 2: Convert to fraction form
    38,064.19/57,100.11 = 13,100.95/x
  3. Step 3: Cross multiply
    38,064.19x = 57,100.11 × 13,100.95
  4. Step 4: Simplify right side
    38,064.19x = 748,065,686.10
  5. Step 5: Solve for x
    x = 748,065,686.10/38,064.19
  6. Step 6: Final answer
    x = 19,652.74

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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.