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Finding the Fourth Proportional to 32,461.02, 48,691.59 and 7,837.02

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Solution

The fourth proportional to 32,461.02, 48,691.59 and 7,837.02 is: 11,755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461.02 : 48,691.59 = 7,837.02 : x
  2. Step 2: Convert to fraction form
    32,461.02/48,691.59 = 7,837.02/x
  3. Step 3: Cross multiply
    32,461.02x = 48,691.59 × 7,837.02
  4. Step 4: Simplify right side
    32,461.02x = 381,596,964.66
  5. Step 5: Solve for x
    x = 381,596,964.66/32,461.02
  6. Step 6: Final answer
    x = 11,755.54

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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.