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Finding the Fourth Proportional to 82,094.32, 113,290.68 and 44,368.48

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Solution

The fourth proportional to 82,094.32, 113,290.68 and 44,368.48 is: 61,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,094.32 : 113,290.68 = 44,368.48 : x
  2. Step 2: Convert to fraction form
    82,094.32/113,290.68 = 44,368.48/x
  3. Step 3: Cross multiply
    82,094.32x = 113,290.68 × 44,368.48
  4. Step 4: Simplify right side
    82,094.32x = 5,026,535,269.77
  5. Step 5: Solve for x
    x = 5,026,535,269.77/82,094.32
  6. Step 6: Final answer
    x = 61,228.78

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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.