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Finding the Fourth Proportional to 54,368.40, 81,455.40 and 46,009.20

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Solution

The fourth proportional to 54,368.40, 81,455.40 and 46,009.20 is: 68,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,368.40 : 81,455.40 = 46,009.20 : x
  2. Step 2: Convert to fraction form
    54,368.40/81,455.40 = 46,009.20/x
  3. Step 3: Cross multiply
    54,368.40x = 81,455.40 × 46,009.20
  4. Step 4: Simplify right side
    54,368.40x = 3,747,697,789.68
  5. Step 5: Solve for x
    x = 3,747,697,789.68/54,368.40
  6. Step 6: Final answer
    x = 68,931.54

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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.