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Finding the Fourth Proportional to 32,086.33, 48,130.86 and 9,899.21

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Solution

The fourth proportional to 32,086.33, 48,130.86 and 9,899.21 is: 14,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,086.33 : 48,130.86 = 9,899.21 : x
  2. Step 2: Convert to fraction form
    32,086.33/48,130.86 = 9,899.21/x
  3. Step 3: Cross multiply
    32,086.33x = 48,130.86 × 9,899.21
  4. Step 4: Simplify right side
    32,086.33x = 476,457,592.39
  5. Step 5: Solve for x
    x = 476,457,592.39/32,086.33
  6. Step 6: Final answer
    x = 14,849.24

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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.