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Finding the Fourth Proportional to 42,133.94, 63,205.13 and 12,148.92

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Solution

The fourth proportional to 42,133.94, 63,205.13 and 12,148.92 is: 18,224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,133.94 : 63,205.13 = 12,148.92 : x
  2. Step 2: Convert to fraction form
    42,133.94/63,205.13 = 12,148.92/x
  3. Step 3: Cross multiply
    42,133.94x = 63,205.13 × 12,148.92
  4. Step 4: Simplify right side
    42,133.94x = 767,874,098.33
  5. Step 5: Solve for x
    x = 767,874,098.33/42,133.94
  6. Step 6: Final answer
    x = 18,224.60

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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.