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Finding the Fourth Proportional to 55,821.88, 77,023.33 and 35,663.28

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Solution

The fourth proportional to 55,821.88, 77,023.33 and 35,663.28 is: 49,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,821.88 : 77,023.33 = 35,663.28 : x
  2. Step 2: Convert to fraction form
    55,821.88/77,023.33 = 35,663.28/x
  3. Step 3: Cross multiply
    55,821.88x = 77,023.33 × 35,663.28
  4. Step 4: Simplify right side
    55,821.88x = 2,746,904,584.32
  5. Step 5: Solve for x
    x = 2,746,904,584.32/55,821.88
  6. Step 6: Final answer
    x = 49,208.39

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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.