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Finding the Fourth Proportional to 32,083.84, 48,133.96 and 12,357.10

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Solution

The fourth proportional to 32,083.84, 48,133.96 and 12,357.10 is: 18,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.84 : 48,133.96 = 12,357.10 : x
  2. Step 2: Convert to fraction form
    32,083.84/48,133.96 = 12,357.10/x
  3. Step 3: Cross multiply
    32,083.84x = 48,133.96 × 12,357.10
  4. Step 4: Simplify right side
    32,083.84x = 594,796,005.89
  5. Step 5: Solve for x
    x = 594,796,005.89/32,083.84
  6. Step 6: Final answer
    x = 18,538.80

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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.