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Finding the Fourth Proportional to 32,316.14, 48,474.28 and 9,827.02

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Solution

The fourth proportional to 32,316.14, 48,474.28 and 9,827.02 is: 14,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,316.14 : 48,474.28 = 9,827.02 : x
  2. Step 2: Convert to fraction form
    32,316.14/48,474.28 = 9,827.02/x
  3. Step 3: Cross multiply
    32,316.14x = 48,474.28 × 9,827.02
  4. Step 4: Simplify right side
    32,316.14x = 476,357,719.05
  5. Step 5: Solve for x
    x = 476,357,719.05/32,316.14
  6. Step 6: Final answer
    x = 14,740.55

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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.