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Finding the Fourth Proportional to 54,298.40, 81,350.40 and 46,522.40

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Solution

The fourth proportional to 54,298.40, 81,350.40 and 46,522.40 is: 69,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,298.40 : 81,350.40 = 46,522.40 : x
  2. Step 2: Convert to fraction form
    54,298.40/81,350.40 = 46,522.40/x
  3. Step 3: Cross multiply
    54,298.40x = 81,350.40 × 46,522.40
  4. Step 4: Simplify right side
    54,298.40x = 3,784,615,848.96
  5. Step 5: Solve for x
    x = 3,784,615,848.96/54,298.40
  6. Step 6: Final answer
    x = 69,700.32

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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.