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Finding the Fourth Proportional to 79,842, 110,182.77 and 48,011.43

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Solution

The fourth proportional to 79,842, 110,182.77 and 48,011.43 is: 66,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,842 : 110,182.77 = 48,011.43 : x
  2. Step 2: Convert to fraction form
    79,842/110,182.77 = 48,011.43/x
  3. Step 3: Cross multiply
    79,842x = 110,182.77 × 48,011.43
  4. Step 4: Simplify right side
    79,842x = 5,290,032,349.06
  5. Step 5: Solve for x
    x = 5,290,032,349.06/79,842
  6. Step 6: Final answer
    x = 66,256.26

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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.