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Finding the Fourth Proportional to 54,908.56, 75,769.62 and 31,037.47

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Solution

The fourth proportional to 54,908.56, 75,769.62 and 31,037.47 is: 42,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,908.56 : 75,769.62 = 31,037.47 : x
  2. Step 2: Convert to fraction form
    54,908.56/75,769.62 = 31,037.47/x
  3. Step 3: Cross multiply
    54,908.56x = 75,769.62 × 31,037.47
  4. Step 4: Simplify right side
    54,908.56x = 2,351,697,307.66
  5. Step 5: Solve for x
    x = 2,351,697,307.66/54,908.56
  6. Step 6: Final answer
    x = 42,829.34

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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.