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Finding the Fourth Proportional to 70,493.60, 97,286.28 and 46,578.80

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Solution

The fourth proportional to 70,493.60, 97,286.28 and 46,578.80 is: 64,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,493.60 : 97,286.28 = 46,578.80 : x
  2. Step 2: Convert to fraction form
    70,493.60/97,286.28 = 46,578.80/x
  3. Step 3: Cross multiply
    70,493.60x = 97,286.28 × 46,578.80
  4. Step 4: Simplify right side
    70,493.60x = 4,531,478,178.86
  5. Step 5: Solve for x
    x = 4,531,478,178.86/70,493.60
  6. Step 6: Final answer
    x = 64,282.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.