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Finding the Fourth Proportional to 32,345.70, 48,518.55 and 10,161

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Solution

The fourth proportional to 32,345.70, 48,518.55 and 10,161 is: 15,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,345.70 : 48,518.55 = 10,161 : x
  2. Step 2: Convert to fraction form
    32,345.70/48,518.55 = 10,161/x
  3. Step 3: Cross multiply
    32,345.70x = 48,518.55 × 10,161
  4. Step 4: Simplify right side
    32,345.70x = 492,996,986.55
  5. Step 5: Solve for x
    x = 492,996,986.55/32,345.70
  6. Step 6: Final answer
    x = 15,241.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.