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Finding the Fourth Proportional to 54,642.84, 75,419.40 and 35,769

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Solution

The fourth proportional to 54,642.84, 75,419.40 and 35,769 is: 49,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,642.84 : 75,419.40 = 35,769 : x
  2. Step 2: Convert to fraction form
    54,642.84/75,419.40 = 35,769/x
  3. Step 3: Cross multiply
    54,642.84x = 75,419.40 × 35,769
  4. Step 4: Simplify right side
    54,642.84x = 2,697,676,518.60
  5. Step 5: Solve for x
    x = 2,697,676,518.60/54,642.84
  6. Step 6: Final answer
    x = 49,369.26

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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.