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Finding the Fourth Proportional to 32,003.65, 48,005.48 and 32,003.65

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Solution

The fourth proportional to 32,003.65, 48,005.48 and 32,003.65 is: 48,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.65 : 48,005.48 = 32,003.65 : x
  2. Step 2: Convert to fraction form
    32,003.65/48,005.48 = 32,003.65/x
  3. Step 3: Cross multiply
    32,003.65x = 48,005.48 × 32,003.65
  4. Step 4: Simplify right side
    32,003.65x = 1,536,350,419.98
  5. Step 5: Solve for x
    x = 1,536,350,419.98/32,003.65
  6. Step 6: Final answer
    x = 48,005.48

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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.