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Finding the Fourth Proportional to 70,829.88, 106,210.92 and 41,256.14

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Solution

The fourth proportional to 70,829.88, 106,210.92 and 41,256.14 is: 61,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,829.88 : 106,210.92 = 41,256.14 : x
  2. Step 2: Convert to fraction form
    70,829.88/106,210.92 = 41,256.14/x
  3. Step 3: Cross multiply
    70,829.88x = 106,210.92 × 41,256.14
  4. Step 4: Simplify right side
    70,829.88x = 4,381,852,585.05
  5. Step 5: Solve for x
    x = 4,381,852,585.05/70,829.88
  6. Step 6: Final answer
    x = 61,864.46

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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.