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Finding the Fourth Proportional to 70,141.68, 96,804.72 and 41,862.96

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Solution

The fourth proportional to 70,141.68, 96,804.72 and 41,862.96 is: 57,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,141.68 : 96,804.72 = 41,862.96 : x
  2. Step 2: Convert to fraction form
    70,141.68/96,804.72 = 41,862.96/x
  3. Step 3: Cross multiply
    70,141.68x = 96,804.72 × 41,862.96
  4. Step 4: Simplify right side
    70,141.68x = 4,052,532,121.17
  5. Step 5: Solve for x
    x = 4,052,532,121.17/70,141.68
  6. Step 6: Final answer
    x = 57,776.38

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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.