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Finding the Fourth Proportional to 32,411.78, 48,617.68 and 10,226.90

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Solution

The fourth proportional to 32,411.78, 48,617.68 and 10,226.90 is: 15,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.78 : 48,617.68 = 10,226.90 : x
  2. Step 2: Convert to fraction form
    32,411.78/48,617.68 = 10,226.90/x
  3. Step 3: Cross multiply
    32,411.78x = 48,617.68 × 10,226.90
  4. Step 4: Simplify right side
    32,411.78x = 497,208,151.59
  5. Step 5: Solve for x
    x = 497,208,151.59/32,411.78
  6. Step 6: Final answer
    x = 15,340.35

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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.