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Finding the Fourth Proportional to 38,014.93, 52,459.07 and 22,098.13

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Solution

The fourth proportional to 38,014.93, 52,459.07 and 22,098.13 is: 30,494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,014.93 : 52,459.07 = 22,098.13 : x
  2. Step 2: Convert to fraction form
    38,014.93/52,459.07 = 22,098.13/x
  3. Step 3: Cross multiply
    38,014.93x = 52,459.07 × 22,098.13
  4. Step 4: Simplify right side
    38,014.93x = 1,159,247,348.54
  5. Step 5: Solve for x
    x = 1,159,247,348.54/38,014.93
  6. Step 6: Final answer
    x = 30,494.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.