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Finding the Fourth Proportional to 54,409.34, 75,012.71 and 35,513.66

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Solution

The fourth proportional to 54,409.34, 75,012.71 and 35,513.66 is: 48,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,409.34 : 75,012.71 = 35,513.66 : x
  2. Step 2: Convert to fraction form
    54,409.34/75,012.71 = 35,513.66/x
  3. Step 3: Cross multiply
    54,409.34x = 75,012.71 × 35,513.66
  4. Step 4: Simplify right side
    54,409.34x = 2,663,975,878.62
  5. Step 5: Solve for x
    x = 2,663,975,878.62/54,409.34
  6. Step 6: Final answer
    x = 48,961.74

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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.