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Finding the Fourth Proportional to 54,938.76, 75,794.06 and 35,841

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Solution

The fourth proportional to 54,938.76, 75,794.06 and 35,841 is: 49,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,938.76 : 75,794.06 = 35,841 : x
  2. Step 2: Convert to fraction form
    54,938.76/75,794.06 = 35,841/x
  3. Step 3: Cross multiply
    54,938.76x = 75,794.06 × 35,841
  4. Step 4: Simplify right side
    54,938.76x = 2,716,534,904.46
  5. Step 5: Solve for x
    x = 2,716,534,904.46/54,938.76
  6. Step 6: Final answer
    x = 49,446.60

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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.