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Finding the Fourth Proportional to 52,522.70, 78,658.76 and 30,289.58

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Solution

The fourth proportional to 52,522.70, 78,658.76 and 30,289.58 is: 45,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,522.70 : 78,658.76 = 30,289.58 : x
  2. Step 2: Convert to fraction form
    52,522.70/78,658.76 = 30,289.58/x
  3. Step 3: Cross multiply
    52,522.70x = 78,658.76 × 30,289.58
  4. Step 4: Simplify right side
    52,522.70x = 2,382,540,803.72
  5. Step 5: Solve for x
    x = 2,382,540,803.72/52,522.70
  6. Step 6: Final answer
    x = 45,362.12

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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.