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Finding the Fourth Proportional to 52,178.07, 78,233.07 and 34,354.78

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Solution

The fourth proportional to 52,178.07, 78,233.07 and 34,354.78 is: 51,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,178.07 : 78,233.07 = 34,354.78 : x
  2. Step 2: Convert to fraction form
    52,178.07/78,233.07 = 34,354.78/x
  3. Step 3: Cross multiply
    52,178.07x = 78,233.07 × 34,354.78
  4. Step 4: Simplify right side
    52,178.07x = 2,687,679,908.57
  5. Step 5: Solve for x
    x = 2,687,679,908.57/52,178.07
  6. Step 6: Final answer
    x = 51,509.76

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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.