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Finding the Fourth Proportional to 52,035.76, 78,057 and 18,297.64

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Solution

The fourth proportional to 52,035.76, 78,057 and 18,297.64 is: 27,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.76 : 78,057 = 18,297.64 : x
  2. Step 2: Convert to fraction form
    52,035.76/78,057 = 18,297.64/x
  3. Step 3: Cross multiply
    52,035.76x = 78,057 × 18,297.64
  4. Step 4: Simplify right side
    52,035.76x = 1,428,258,885.48
  5. Step 5: Solve for x
    x = 1,428,258,885.48/52,035.76
  6. Step 6: Final answer
    x = 27,447.64

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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.