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Finding the Fourth Proportional to 32,318, 48,473.76 and 23,570

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Solution

The fourth proportional to 32,318, 48,473.76 and 23,570 is: 35,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,318 : 48,473.76 = 23,570 : x
  2. Step 2: Convert to fraction form
    32,318/48,473.76 = 23,570/x
  3. Step 3: Cross multiply
    32,318x = 48,473.76 × 23,570
  4. Step 4: Simplify right side
    32,318x = 1,142,526,523.20
  5. Step 5: Solve for x
    x = 1,142,526,523.20/32,318
  6. Step 6: Final answer
    x = 35,352.64

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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.