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Finding the Fourth Proportional to 78,962.24, 118,471.31 and 49,345.40

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Solution

The fourth proportional to 78,962.24, 118,471.31 and 49,345.40 is: 74,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,962.24 : 118,471.31 = 49,345.40 : x
  2. Step 2: Convert to fraction form
    78,962.24/118,471.31 = 49,345.40/x
  3. Step 3: Cross multiply
    78,962.24x = 118,471.31 × 49,345.40
  4. Step 4: Simplify right side
    78,962.24x = 5,846,014,414.97
  5. Step 5: Solve for x
    x = 5,846,014,414.97/78,962.24
  6. Step 6: Final answer
    x = 74,035.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.