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Finding the Fourth Proportional to 54,643.84, 75,420.78 and 35,770

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Solution

The fourth proportional to 54,643.84, 75,420.78 and 35,770 is: 49,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,643.84 : 75,420.78 = 35,770 : x
  2. Step 2: Convert to fraction form
    54,643.84/75,420.78 = 35,770/x
  3. Step 3: Cross multiply
    54,643.84x = 75,420.78 × 35,770
  4. Step 4: Simplify right side
    54,643.84x = 2,697,801,300.60
  5. Step 5: Solve for x
    x = 2,697,801,300.60/54,643.84
  6. Step 6: Final answer
    x = 49,370.64

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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.