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Finding the Fourth Proportional to 32,012.97, 48,017.63 and 9,826.32

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Solution

The fourth proportional to 32,012.97, 48,017.63 and 9,826.32 is: 14,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.97 : 48,017.63 = 9,826.32 : x
  2. Step 2: Convert to fraction form
    32,012.97/48,017.63 = 9,826.32/x
  3. Step 3: Cross multiply
    32,012.97x = 48,017.63 × 9,826.32
  4. Step 4: Simplify right side
    32,012.97x = 471,836,548.89
  5. Step 5: Solve for x
    x = 471,836,548.89/32,012.97
  6. Step 6: Final answer
    x = 14,738.92

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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.