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Finding the Fourth Proportional to 69,827, 104,658.46 and 32,307.80

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Solution

The fourth proportional to 69,827, 104,658.46 and 32,307.80 is: 48,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,827 : 104,658.46 = 32,307.80 : x
  2. Step 2: Convert to fraction form
    69,827/104,658.46 = 32,307.80/x
  3. Step 3: Cross multiply
    69,827x = 104,658.46 × 32,307.80
  4. Step 4: Simplify right side
    69,827x = 3,381,284,593.99
  5. Step 5: Solve for x
    x = 3,381,284,593.99/69,827
  6. Step 6: Final answer
    x = 48,423.74

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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.