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Finding the Fourth Proportional to 55,842.17, 77,062.61 and 30,348.64

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Solution

The fourth proportional to 55,842.17, 77,062.61 and 30,348.64 is: 41,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,842.17 : 77,062.61 = 30,348.64 : x
  2. Step 2: Convert to fraction form
    55,842.17/77,062.61 = 30,348.64/x
  3. Step 3: Cross multiply
    55,842.17x = 77,062.61 × 30,348.64
  4. Step 4: Simplify right side
    55,842.17x = 2,338,744,871.29
  5. Step 5: Solve for x
    x = 2,338,744,871.29/55,842.17
  6. Step 6: Final answer
    x = 41,881.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.