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Finding the Fourth Proportional to 82,394, 113,703.86 and 44,668.32

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Solution

The fourth proportional to 82,394, 113,703.86 and 44,668.32 is: 61,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,394 : 113,703.86 = 44,668.32 : x
  2. Step 2: Convert to fraction form
    82,394/113,703.86 = 44,668.32/x
  3. Step 3: Cross multiply
    82,394x = 113,703.86 × 44,668.32
  4. Step 4: Simplify right side
    82,394x = 5,078,960,403.72
  5. Step 5: Solve for x
    x = 5,078,960,403.72/82,394
  6. Step 6: Final answer
    x = 61,642.36

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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.