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Finding the Fourth Proportional to 32,012.47, 48,016.88 and 9,825.81

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Solution

The fourth proportional to 32,012.47, 48,016.88 and 9,825.81 is: 14,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.47 : 48,016.88 = 9,825.81 : x
  2. Step 2: Convert to fraction form
    32,012.47/48,016.88 = 9,825.81/x
  3. Step 3: Cross multiply
    32,012.47x = 48,016.88 × 9,825.81
  4. Step 4: Simplify right side
    32,012.47x = 471,804,739.67
  5. Step 5: Solve for x
    x = 471,804,739.67/32,012.47
  6. Step 6: Final answer
    x = 14,738.15

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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.