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Finding the Fourth Proportional to 42,298.47, 63,449.25 and 14,219.46

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Solution

The fourth proportional to 42,298.47, 63,449.25 and 14,219.46 is: 21,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,298.47 : 63,449.25 = 14,219.46 : x
  2. Step 2: Convert to fraction form
    42,298.47/63,449.25 = 14,219.46/x
  3. Step 3: Cross multiply
    42,298.47x = 63,449.25 × 14,219.46
  4. Step 4: Simplify right side
    42,298.47x = 902,214,072.41
  5. Step 5: Solve for x
    x = 902,214,072.41/42,298.47
  6. Step 6: Final answer
    x = 21,329.71

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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.