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Finding the Fourth Proportional to 32,525.46, 48,788.16 and 7,901.46

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Solution

The fourth proportional to 32,525.46, 48,788.16 and 7,901.46 is: 11,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,525.46 : 48,788.16 = 7,901.46 : x
  2. Step 2: Convert to fraction form
    32,525.46/48,788.16 = 7,901.46/x
  3. Step 3: Cross multiply
    32,525.46x = 48,788.16 × 7,901.46
  4. Step 4: Simplify right side
    32,525.46x = 385,497,694.71
  5. Step 5: Solve for x
    x = 385,497,694.71/32,525.46
  6. Step 6: Final answer
    x = 11,852.18

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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.