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Finding the Fourth Proportional to 32,111.10, 48,145.05 and 14,571.90

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Solution

The fourth proportional to 32,111.10, 48,145.05 and 14,571.90 is: 21,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,111.10 : 48,145.05 = 14,571.90 : x
  2. Step 2: Convert to fraction form
    32,111.10/48,145.05 = 14,571.90/x
  3. Step 3: Cross multiply
    32,111.10x = 48,145.05 × 14,571.90
  4. Step 4: Simplify right side
    32,111.10x = 701,564,854.10
  5. Step 5: Solve for x
    x = 701,564,854.10/32,111.10
  6. Step 6: Final answer
    x = 21,848.05

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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.