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Finding the Fourth Proportional to 42,205.68, 63,313.79 and 14,145.93

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Solution

The fourth proportional to 42,205.68, 63,313.79 and 14,145.93 is: 21,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,205.68 : 63,313.79 = 14,145.93 : x
  2. Step 2: Convert to fraction form
    42,205.68/63,313.79 = 14,145.93/x
  3. Step 3: Cross multiply
    42,205.68x = 63,313.79 × 14,145.93
  4. Step 4: Simplify right side
    42,205.68x = 895,632,370.65
  5. Step 5: Solve for x
    x = 895,632,370.65/42,205.68
  6. Step 6: Final answer
    x = 21,220.66

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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.