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Finding the Fourth Proportional to 78,148.80, 117,154.08 and 36,584.64

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Solution

The fourth proportional to 78,148.80, 117,154.08 and 36,584.64 is: 54,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,148.80 : 117,154.08 = 36,584.64 : x
  2. Step 2: Convert to fraction form
    78,148.80/117,154.08 = 36,584.64/x
  3. Step 3: Cross multiply
    78,148.80x = 117,154.08 × 36,584.64
  4. Step 4: Simplify right side
    78,148.80x = 4,286,039,841.33
  5. Step 5: Solve for x
    x = 4,286,039,841.33/78,148.80
  6. Step 6: Final answer
    x = 54,844.60

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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.