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Finding the Fourth Proportional to 32,838.48, 49,240.10 and 10,344.95

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Solution

The fourth proportional to 32,838.48, 49,240.10 and 10,344.95 is: 15,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.48 : 49,240.10 = 10,344.95 : x
  2. Step 2: Convert to fraction form
    32,838.48/49,240.10 = 10,344.95/x
  3. Step 3: Cross multiply
    32,838.48x = 49,240.10 × 10,344.95
  4. Step 4: Simplify right side
    32,838.48x = 509,386,372.50
  5. Step 5: Solve for x
    x = 509,386,372.50/32,838.48
  6. Step 6: Final answer
    x = 15,511.87

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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.