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Finding the Fourth Proportional to 32,033.72, 48,057.60 and 9,848.72

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Solution

The fourth proportional to 32,033.72, 48,057.60 and 9,848.72 is: 14,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.72 : 48,057.60 = 9,848.72 : x
  2. Step 2: Convert to fraction form
    32,033.72/48,057.60 = 9,848.72/x
  3. Step 3: Cross multiply
    32,033.72x = 48,057.60 × 9,848.72
  4. Step 4: Simplify right side
    32,033.72x = 473,305,846.27
  5. Step 5: Solve for x
    x = 473,305,846.27/32,033.72
  6. Step 6: Final answer
    x = 14,775.24

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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.