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Finding the Fourth Proportional to 32,646.46, 48,923.88 and 13,901.14

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Solution

The fourth proportional to 32,646.46, 48,923.88 and 13,901.14 is: 20,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646.46 : 48,923.88 = 13,901.14 : x
  2. Step 2: Convert to fraction form
    32,646.46/48,923.88 = 13,901.14/x
  3. Step 3: Cross multiply
    32,646.46x = 48,923.88 × 13,901.14
  4. Step 4: Simplify right side
    32,646.46x = 680,097,705.22
  5. Step 5: Solve for x
    x = 680,097,705.22/32,646.46
  6. Step 6: Final answer
    x = 20,832.20

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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.