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Finding the Fourth Proportional to 54,643.60, 81,916.80 and 32,433.40

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Solution

The fourth proportional to 54,643.60, 81,916.80 and 32,433.40 is: 48,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,643.60 : 81,916.80 = 32,433.40 : x
  2. Step 2: Convert to fraction form
    54,643.60/81,916.80 = 32,433.40/x
  3. Step 3: Cross multiply
    54,643.60x = 81,916.80 × 32,433.40
  4. Step 4: Simplify right side
    54,643.60x = 2,656,840,341.12
  5. Step 5: Solve for x
    x = 2,656,840,341.12/54,643.60
  6. Step 6: Final answer
    x = 48,621.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.