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Finding the Fourth Proportional to 78,247.39, 107,971.49 and 46,410.07

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Solution

The fourth proportional to 78,247.39, 107,971.49 and 46,410.07 is: 64,040.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,247.39 : 107,971.49 = 46,410.07 : x
  2. Step 2: Convert to fraction form
    78,247.39/107,971.49 = 46,410.07/x
  3. Step 3: Cross multiply
    78,247.39x = 107,971.49 × 46,410.07
  4. Step 4: Simplify right side
    78,247.39x = 5,010,964,408.90
  5. Step 5: Solve for x
    x = 5,010,964,408.90/78,247.39
  6. Step 6: Final answer
    x = 64,040.02

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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.