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Finding the Fourth Proportional to 32,003.40, 48,062.70 and 30,966.60

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Solution

The fourth proportional to 32,003.40, 48,062.70 and 30,966.60 is: 46,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.40 : 48,062.70 = 30,966.60 : x
  2. Step 2: Convert to fraction form
    32,003.40/48,062.70 = 30,966.60/x
  3. Step 3: Cross multiply
    32,003.40x = 48,062.70 × 30,966.60
  4. Step 4: Simplify right side
    32,003.40x = 1,488,338,405.82
  5. Step 5: Solve for x
    x = 1,488,338,405.82/32,003.40
  6. Step 6: Final answer
    x = 46,505.63

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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.