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Finding the Fourth Proportional to 32,511.72, 48,774.54 and 10,326.84

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Solution

The fourth proportional to 32,511.72, 48,774.54 and 10,326.84 is: 15,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,511.72 : 48,774.54 = 10,326.84 : x
  2. Step 2: Convert to fraction form
    32,511.72/48,774.54 = 10,326.84/x
  3. Step 3: Cross multiply
    32,511.72x = 48,774.54 × 10,326.84
  4. Step 4: Simplify right side
    32,511.72x = 503,686,870.65
  5. Step 5: Solve for x
    x = 503,686,870.65/32,511.72
  6. Step 6: Final answer
    x = 15,492.47

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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.