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Finding the Fourth Proportional to 32,657, 48,985.74 and 8,033

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Solution

The fourth proportional to 32,657, 48,985.74 and 8,033 is: 12,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657 : 48,985.74 = 8,033 : x
  2. Step 2: Convert to fraction form
    32,657/48,985.74 = 8,033/x
  3. Step 3: Cross multiply
    32,657x = 48,985.74 × 8,033
  4. Step 4: Simplify right side
    32,657x = 393,502,449.42
  5. Step 5: Solve for x
    x = 393,502,449.42/32,657
  6. Step 6: Final answer
    x = 12,049.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.