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Finding the Fourth Proportional to 32,617, 48,925.50 and 7,993

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Solution

The fourth proportional to 32,617, 48,925.50 and 7,993 is: 11,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,617 : 48,925.50 = 7,993 : x
  2. Step 2: Convert to fraction form
    32,617/48,925.50 = 7,993/x
  3. Step 3: Cross multiply
    32,617x = 48,925.50 × 7,993
  4. Step 4: Simplify right side
    32,617x = 391,061,521.50
  5. Step 5: Solve for x
    x = 391,061,521.50/32,617
  6. Step 6: Final answer
    x = 11,989.50

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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.