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Finding the Fourth Proportional to 77,882, 107,477.16 and 44,354.48

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Solution

The fourth proportional to 77,882, 107,477.16 and 44,354.48 is: 61,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882 : 107,477.16 = 44,354.48 : x
  2. Step 2: Convert to fraction form
    77,882/107,477.16 = 44,354.48/x
  3. Step 3: Cross multiply
    77,882x = 107,477.16 × 44,354.48
  4. Step 4: Simplify right side
    77,882x = 4,767,093,543.68
  5. Step 5: Solve for x
    x = 4,767,093,543.68/77,882
  6. Step 6: Final answer
    x = 61,209.18

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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.