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Finding the Fourth Proportional to 82,578.36, 113,958.36 and 44,852.88

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Solution

The fourth proportional to 82,578.36, 113,958.36 and 44,852.88 is: 61,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,578.36 : 113,958.36 = 44,852.88 : x
  2. Step 2: Convert to fraction form
    82,578.36/113,958.36 = 44,852.88/x
  3. Step 3: Cross multiply
    82,578.36x = 113,958.36 × 44,852.88
  4. Step 4: Simplify right side
    82,578.36x = 5,111,360,646.08
  5. Step 5: Solve for x
    x = 5,111,360,646.08/82,578.36
  6. Step 6: Final answer
    x = 61,897.10

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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.