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Finding the Fourth Proportional to 32,089.20, 48,133.89 and 13,113.84

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Solution

The fourth proportional to 32,089.20, 48,133.89 and 13,113.84 is: 19,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.20 : 48,133.89 = 13,113.84 : x
  2. Step 2: Convert to fraction form
    32,089.20/48,133.89 = 13,113.84/x
  3. Step 3: Cross multiply
    32,089.20x = 48,133.89 × 13,113.84
  4. Step 4: Simplify right side
    32,089.20x = 631,220,132.04
  5. Step 5: Solve for x
    x = 631,220,132.04/32,089.20
  6. Step 6: Final answer
    x = 19,670.80

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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.