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Finding the Fourth Proportional to 32,482.68, 48,731.22 and 10,297.38

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Solution

The fourth proportional to 32,482.68, 48,731.22 and 10,297.38 is: 15,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482.68 : 48,731.22 = 10,297.38 : x
  2. Step 2: Convert to fraction form
    32,482.68/48,731.22 = 10,297.38/x
  3. Step 3: Cross multiply
    32,482.68x = 48,731.22 × 10,297.38
  4. Step 4: Simplify right side
    32,482.68x = 501,803,890.20
  5. Step 5: Solve for x
    x = 501,803,890.20/32,482.68
  6. Step 6: Final answer
    x = 15,448.35

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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.