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Finding the Fourth Proportional to 78,234.90, 107,924.16 and 49,506.22

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Solution

The fourth proportional to 78,234.90, 107,924.16 and 49,506.22 is: 68,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,234.90 : 107,924.16 = 49,506.22 : x
  2. Step 2: Convert to fraction form
    78,234.90/107,924.16 = 49,506.22/x
  3. Step 3: Cross multiply
    78,234.90x = 107,924.16 × 49,506.22
  4. Step 4: Simplify right side
    78,234.90x = 5,342,917,208.28
  5. Step 5: Solve for x
    x = 5,342,917,208.28/78,234.90
  6. Step 6: Final answer
    x = 68,293.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.