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Finding the Fourth Proportional to 32,423, 48,634.50 and 7,799

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Solution

The fourth proportional to 32,423, 48,634.50 and 7,799 is: 11,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,423 : 48,634.50 = 7,799 : x
  2. Step 2: Convert to fraction form
    32,423/48,634.50 = 7,799/x
  3. Step 3: Cross multiply
    32,423x = 48,634.50 × 7,799
  4. Step 4: Simplify right side
    32,423x = 379,300,465.50
  5. Step 5: Solve for x
    x = 379,300,465.50/32,423
  6. Step 6: Final answer
    x = 11,698.50

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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.