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Finding the Fourth Proportional to 32,083.86, 48,115.98 and 11,302.50

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Solution

The fourth proportional to 32,083.86, 48,115.98 and 11,302.50 is: 16,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.86 : 48,115.98 = 11,302.50 : x
  2. Step 2: Convert to fraction form
    32,083.86/48,115.98 = 11,302.50/x
  3. Step 3: Cross multiply
    32,083.86x = 48,115.98 × 11,302.50
  4. Step 4: Simplify right side
    32,083.86x = 543,830,863.95
  5. Step 5: Solve for x
    x = 543,830,863.95/32,083.86
  6. Step 6: Final answer
    x = 16,950.29

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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.