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Finding the Fourth Proportional to 52,035.66, 78,057 and 25,733.34

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Solution

The fourth proportional to 52,035.66, 78,057 and 25,733.34 is: 38,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.66 : 78,057 = 25,733.34 : x
  2. Step 2: Convert to fraction form
    52,035.66/78,057 = 25,733.34/x
  3. Step 3: Cross multiply
    52,035.66x = 78,057 × 25,733.34
  4. Step 4: Simplify right side
    52,035.66x = 2,008,667,320.38
  5. Step 5: Solve for x
    x = 2,008,667,320.38/52,035.66
  6. Step 6: Final answer
    x = 38,601.75

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1.5x scale

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.