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Finding the Fourth Proportional to 32,137.80, 48,206.70 and 31,919.10

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Solution

The fourth proportional to 32,137.80, 48,206.70 and 31,919.10 is: 47,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,137.80 : 48,206.70 = 31,919.10 : x
  2. Step 2: Convert to fraction form
    32,137.80/48,206.70 = 31,919.10/x
  3. Step 3: Cross multiply
    32,137.80x = 48,206.70 × 31,919.10
  4. Step 4: Simplify right side
    32,137.80x = 1,538,714,477.97
  5. Step 5: Solve for x
    x = 1,538,714,477.97/32,137.80
  6. Step 6: Final answer
    x = 47,878.65

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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.