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Finding the Fourth Proportional to 32,111.46, 48,166.29 and 8,738.10

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Solution

The fourth proportional to 32,111.46, 48,166.29 and 8,738.10 is: 13,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,111.46 : 48,166.29 = 8,738.10 : x
  2. Step 2: Convert to fraction form
    32,111.46/48,166.29 = 8,738.10/x
  3. Step 3: Cross multiply
    32,111.46x = 48,166.29 × 8,738.10
  4. Step 4: Simplify right side
    32,111.46x = 420,881,858.65
  5. Step 5: Solve for x
    x = 420,881,858.65/32,111.46
  6. Step 6: Final answer
    x = 13,106.91

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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.