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Finding the Fourth Proportional to 32,061.64, 48,113.34 and 14,533

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Solution

The fourth proportional to 32,061.64, 48,113.34 and 14,533 is: 21,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,061.64 : 48,113.34 = 14,533 : x
  2. Step 2: Convert to fraction form
    32,061.64/48,113.34 = 14,533/x
  3. Step 3: Cross multiply
    32,061.64x = 48,113.34 × 14,533
  4. Step 4: Simplify right side
    32,061.64x = 699,231,170.22
  5. Step 5: Solve for x
    x = 699,231,170.22/32,061.64
  6. Step 6: Final answer
    x = 21,808.96

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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.