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Finding the Fourth Proportional to 32,442.47, 48,670.91 and 9,956.27

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Solution

The fourth proportional to 32,442.47, 48,670.91 and 9,956.27 is: 14,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.47 : 48,670.91 = 9,956.27 : x
  2. Step 2: Convert to fraction form
    32,442.47/48,670.91 = 9,956.27/x
  3. Step 3: Cross multiply
    32,442.47x = 48,670.91 × 9,956.27
  4. Step 4: Simplify right side
    32,442.47x = 484,580,830.34
  5. Step 5: Solve for x
    x = 484,580,830.34/32,442.47
  6. Step 6: Final answer
    x = 14,936.62

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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.