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Finding the Fourth Proportional to 54,618.82, 75,376.01 and 30,420.70

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Solution

The fourth proportional to 54,618.82, 75,376.01 and 30,420.70 is: 41,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,618.82 : 75,376.01 = 30,420.70 : x
  2. Step 2: Convert to fraction form
    54,618.82/75,376.01 = 30,420.70/x
  3. Step 3: Cross multiply
    54,618.82x = 75,376.01 × 30,420.70
  4. Step 4: Simplify right side
    54,618.82x = 2,292,990,875.02
  5. Step 5: Solve for x
    x = 2,292,990,875.02/54,618.82
  6. Step 6: Final answer
    x = 41,981.70

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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.