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Finding the Fourth Proportional to 32,838.62, 49,264.85 and 10,650.27

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Solution

The fourth proportional to 32,838.62, 49,264.85 and 10,650.27 is: 15,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.62 : 49,264.85 = 10,650.27 : x
  2. Step 2: Convert to fraction form
    32,838.62/49,264.85 = 10,650.27/x
  3. Step 3: Cross multiply
    32,838.62x = 49,264.85 × 10,650.27
  4. Step 4: Simplify right side
    32,838.62x = 524,683,980.64
  5. Step 5: Solve for x
    x = 524,683,980.64/32,838.62
  6. Step 6: Final answer
    x = 15,977.65

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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.