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Finding the Fourth Proportional to 82,143, 113,357.38 and 44,417.24

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Solution

The fourth proportional to 82,143, 113,357.38 and 44,417.24 is: 61,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,143 : 113,357.38 = 44,417.24 : x
  2. Step 2: Convert to fraction form
    82,143/113,357.38 = 44,417.24/x
  3. Step 3: Cross multiply
    82,143x = 113,357.38 × 44,417.24
  4. Step 4: Simplify right side
    82,143x = 5,035,021,953.23
  5. Step 5: Solve for x
    x = 5,035,021,953.23/82,143
  6. Step 6: Final answer
    x = 61,295.81

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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.