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Finding the Fourth Proportional to 42,188.67, 63,314.16 and 20,002.11

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Solution

The fourth proportional to 42,188.67, 63,314.16 and 20,002.11 is: 30,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,188.67 : 63,314.16 = 20,002.11 : x
  2. Step 2: Convert to fraction form
    42,188.67/63,314.16 = 20,002.11/x
  3. Step 3: Cross multiply
    42,188.67x = 63,314.16 × 20,002.11
  4. Step 4: Simplify right side
    42,188.67x = 1,266,417,014.65
  5. Step 5: Solve for x
    x = 1,266,417,014.65/42,188.67
  6. Step 6: Final answer
    x = 30,017.94

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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.