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Finding the Fourth Proportional to 78,244.92, 107,977.32 and 44,260.02

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Solution

The fourth proportional to 78,244.92, 107,977.32 and 44,260.02 is: 61,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,244.92 : 107,977.32 = 44,260.02 : x
  2. Step 2: Convert to fraction form
    78,244.92/107,977.32 = 44,260.02/x
  3. Step 3: Cross multiply
    78,244.92x = 107,977.32 × 44,260.02
  4. Step 4: Simplify right side
    78,244.92x = 4,779,078,342.75
  5. Step 5: Solve for x
    x = 4,779,078,342.75/78,244.92
  6. Step 6: Final answer
    x = 61,078.45

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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.