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Finding the Fourth Proportional to 82,117.78, 113,322.60 and 44,392.02

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Solution

The fourth proportional to 82,117.78, 113,322.60 and 44,392.02 is: 61,261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,117.78 : 113,322.60 = 44,392.02 : x
  2. Step 2: Convert to fraction form
    82,117.78/113,322.60 = 44,392.02/x
  3. Step 3: Cross multiply
    82,117.78x = 113,322.60 × 44,392.02
  4. Step 4: Simplify right side
    82,117.78x = 5,030,619,125.65
  5. Step 5: Solve for x
    x = 5,030,619,125.65/82,117.78
  6. Step 6: Final answer
    x = 61,261.02

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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.