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Finding the Fourth Proportional to 32,654.08, 48,967.08 and 10,460.08

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Solution

The fourth proportional to 32,654.08, 48,967.08 and 10,460.08 is: 15,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,654.08 : 48,967.08 = 10,460.08 : x
  2. Step 2: Convert to fraction form
    32,654.08/48,967.08 = 10,460.08/x
  3. Step 3: Cross multiply
    32,654.08x = 48,967.08 × 10,460.08
  4. Step 4: Simplify right side
    32,654.08x = 512,199,574.17
  5. Step 5: Solve for x
    x = 512,199,574.17/32,654.08
  6. Step 6: Final answer
    x = 15,685.62

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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.