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Finding the Fourth Proportional to 32,155.96, 48,238.61 and 9,971.13

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Solution

The fourth proportional to 32,155.96, 48,238.61 and 9,971.13 is: 14,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,155.96 : 48,238.61 = 9,971.13 : x
  2. Step 2: Convert to fraction form
    32,155.96/48,238.61 = 9,971.13/x
  3. Step 3: Cross multiply
    32,155.96x = 48,238.61 × 9,971.13
  4. Step 4: Simplify right side
    32,155.96x = 480,993,259.49
  5. Step 5: Solve for x
    x = 480,993,259.49/32,155.96
  6. Step 6: Final answer
    x = 14,958.14

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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.