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Finding the Fourth Proportional to 42,405.40, 63,588.90 and 16,101.40

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Solution

The fourth proportional to 42,405.40, 63,588.90 and 16,101.40 is: 24,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,405.40 : 63,588.90 = 16,101.40 : x
  2. Step 2: Convert to fraction form
    42,405.40/63,588.90 = 16,101.40/x
  3. Step 3: Cross multiply
    42,405.40x = 63,588.90 × 16,101.40
  4. Step 4: Simplify right side
    42,405.40x = 1,023,870,314.46
  5. Step 5: Solve for x
    x = 1,023,870,314.46/42,405.40
  6. Step 6: Final answer
    x = 24,144.81

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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.