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Finding the Fourth Proportional to 42,046.35, 63,069.78 and 12,464.46

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Solution

The fourth proportional to 42,046.35, 63,069.78 and 12,464.46 is: 18,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,046.35 : 63,069.78 = 12,464.46 : x
  2. Step 2: Convert to fraction form
    42,046.35/63,069.78 = 12,464.46/x
  3. Step 3: Cross multiply
    42,046.35x = 63,069.78 × 12,464.46
  4. Step 4: Simplify right side
    42,046.35x = 786,130,750.02
  5. Step 5: Solve for x
    x = 786,130,750.02/42,046.35
  6. Step 6: Final answer
    x = 18,696.77

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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.