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Finding the Fourth Proportional to 32,283.01, 48,422.69 and 10,093.77

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Solution

The fourth proportional to 32,283.01, 48,422.69 and 10,093.77 is: 15,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,283.01 : 48,422.69 = 10,093.77 : x
  2. Step 2: Convert to fraction form
    32,283.01/48,422.69 = 10,093.77/x
  3. Step 3: Cross multiply
    32,283.01x = 48,422.69 × 10,093.77
  4. Step 4: Simplify right side
    32,283.01x = 488,767,539.80
  5. Step 5: Solve for x
    x = 488,767,539.80/32,283.01
  6. Step 6: Final answer
    x = 15,140.09

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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.