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Finding the Fourth Proportional to 54,335.80, 74,986.50 and 30,461.32

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Solution

The fourth proportional to 54,335.80, 74,986.50 and 30,461.32 is: 42,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,335.80 : 74,986.50 = 30,461.32 : x
  2. Step 2: Convert to fraction form
    54,335.80/74,986.50 = 30,461.32/x
  3. Step 3: Cross multiply
    54,335.80x = 74,986.50 × 30,461.32
  4. Step 4: Simplify right side
    54,335.80x = 2,284,187,772.18
  5. Step 5: Solve for x
    x = 2,284,187,772.18/54,335.80
  6. Step 6: Final answer
    x = 42,038.36

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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.