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Finding the Fourth Proportional to 52,570.65, 78,874.20 and 23,009.70

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Solution

The fourth proportional to 52,570.65, 78,874.20 and 23,009.70 is: 34,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,570.65 : 78,874.20 = 23,009.70 : x
  2. Step 2: Convert to fraction form
    52,570.65/78,874.20 = 23,009.70/x
  3. Step 3: Cross multiply
    52,570.65x = 78,874.20 × 23,009.70
  4. Step 4: Simplify right side
    52,570.65x = 1,814,871,679.74
  5. Step 5: Solve for x
    x = 1,814,871,679.74/52,570.65
  6. Step 6: Final answer
    x = 34,522.53

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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.