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Finding the Fourth Proportional to 32,985.72, 49,449 and 11,920.83

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Solution

The fourth proportional to 32,985.72, 49,449 and 11,920.83 is: 17,870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,985.72 : 49,449 = 11,920.83 : x
  2. Step 2: Convert to fraction form
    32,985.72/49,449 = 11,920.83/x
  3. Step 3: Cross multiply
    32,985.72x = 49,449 × 11,920.83
  4. Step 4: Simplify right side
    32,985.72x = 589,473,122.67
  5. Step 5: Solve for x
    x = 589,473,122.67/32,985.72
  6. Step 6: Final answer
    x = 17,870.55

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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.