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Finding the Fourth Proportional to 55,577.84, 76,704.72 and 31,699.04

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Solution

The fourth proportional to 55,577.84, 76,704.72 and 31,699.04 is: 43,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,577.84 : 76,704.72 = 31,699.04 : x
  2. Step 2: Convert to fraction form
    55,577.84/76,704.72 = 31,699.04/x
  3. Step 3: Cross multiply
    55,577.84x = 76,704.72 × 31,699.04
  4. Step 4: Simplify right side
    55,577.84x = 2,431,465,987.47
  5. Step 5: Solve for x
    x = 2,431,465,987.47/55,577.84
  6. Step 6: Final answer
    x = 43,748.84

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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.