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Finding the Fourth Proportional to 78,242.16, 107,932.86 and 48,033.48

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Solution

The fourth proportional to 78,242.16, 107,932.86 and 48,033.48 is: 66,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,242.16 : 107,932.86 = 48,033.48 : x
  2. Step 2: Convert to fraction form
    78,242.16/107,932.86 = 48,033.48/x
  3. Step 3: Cross multiply
    78,242.16x = 107,932.86 × 48,033.48
  4. Step 4: Simplify right side
    78,242.16x = 5,184,390,872.15
  5. Step 5: Solve for x
    x = 5,184,390,872.15/78,242.16
  6. Step 6: Final answer
    x = 66,260.84

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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.