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Finding the Fourth Proportional to 78,253.86, 107,954.46 and 46,411.14

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Solution

The fourth proportional to 78,253.86, 107,954.46 and 46,411.14 is: 64,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,253.86 : 107,954.46 = 46,411.14 : x
  2. Step 2: Convert to fraction form
    78,253.86/107,954.46 = 46,411.14/x
  3. Step 3: Cross multiply
    78,253.86x = 107,954.46 × 46,411.14
  4. Step 4: Simplify right side
    78,253.86x = 5,010,289,556.68
  5. Step 5: Solve for x
    x = 5,010,289,556.68/78,253.86
  6. Step 6: Final answer
    x = 64,026.10

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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.