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Finding the Fourth Proportional to 52,338, 78,400.08 and 43,544.64

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Solution

The fourth proportional to 52,338, 78,400.08 and 43,544.64 is: 65,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,338 : 78,400.08 = 43,544.64 : x
  2. Step 2: Convert to fraction form
    52,338/78,400.08 = 43,544.64/x
  3. Step 3: Cross multiply
    52,338x = 78,400.08 × 43,544.64
  4. Step 4: Simplify right side
    52,338x = 3,413,903,259.57
  5. Step 5: Solve for x
    x = 3,413,903,259.57/52,338
  6. Step 6: Final answer
    x = 65,228.00

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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.