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Finding the Fourth Proportional to 32,647.60, 48,971.40 and 10,461.16

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Solution

The fourth proportional to 32,647.60, 48,971.40 and 10,461.16 is: 15,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.60 : 48,971.40 = 10,461.16 : x
  2. Step 2: Convert to fraction form
    32,647.60/48,971.40 = 10,461.16/x
  3. Step 3: Cross multiply
    32,647.60x = 48,971.40 × 10,461.16
  4. Step 4: Simplify right side
    32,647.60x = 512,297,650.82
  5. Step 5: Solve for x
    x = 512,297,650.82/32,647.60
  6. Step 6: Final answer
    x = 15,691.74

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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.