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Finding the Fourth Proportional to 42,015.30, 63,033 and 12,029.95

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Solution

The fourth proportional to 42,015.30, 63,033 and 12,029.95 is: 18,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,015.30 : 63,033 = 12,029.95 : x
  2. Step 2: Convert to fraction form
    42,015.30/63,033 = 12,029.95/x
  3. Step 3: Cross multiply
    42,015.30x = 63,033 × 12,029.95
  4. Step 4: Simplify right side
    42,015.30x = 758,283,838.35
  5. Step 5: Solve for x
    x = 758,283,838.35/42,015.30
  6. Step 6: Final answer
    x = 18,047.80

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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.