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Finding the Fourth Proportional to 54,098.64, 74,679.84 and 32,598

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Solution

The fourth proportional to 54,098.64, 74,679.84 and 32,598 is: 44,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,098.64 : 74,679.84 = 32,598 : x
  2. Step 2: Convert to fraction form
    54,098.64/74,679.84 = 32,598/x
  3. Step 3: Cross multiply
    54,098.64x = 74,679.84 × 32,598
  4. Step 4: Simplify right side
    54,098.64x = 2,434,413,424.32
  5. Step 5: Solve for x
    x = 2,434,413,424.32/54,098.64
  6. Step 6: Final answer
    x = 44,999.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.