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Finding the Fourth Proportional to 52,272, 78,416.64 and 15,344.64

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Solution

The fourth proportional to 52,272, 78,416.64 and 15,344.64 is: 23,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,272 : 78,416.64 = 15,344.64 : x
  2. Step 2: Convert to fraction form
    52,272/78,416.64 = 15,344.64/x
  3. Step 3: Cross multiply
    52,272x = 78,416.64 × 15,344.64
  4. Step 4: Simplify right side
    52,272x = 1,203,275,110.81
  5. Step 5: Solve for x
    x = 1,203,275,110.81/52,272
  6. Step 6: Final answer
    x = 23,019.50

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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.