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Finding the Fourth Proportional to 32,109.77, 48,102.34 and 23,660.95

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Solution

The fourth proportional to 32,109.77, 48,102.34 and 23,660.95 is: 35,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109.77 : 48,102.34 = 23,660.95 : x
  2. Step 2: Convert to fraction form
    32,109.77/48,102.34 = 23,660.95/x
  3. Step 3: Cross multiply
    32,109.77x = 48,102.34 × 23,660.95
  4. Step 4: Simplify right side
    32,109.77x = 1,138,147,048.95
  5. Step 5: Solve for x
    x = 1,138,147,048.95/32,109.77
  6. Step 6: Final answer
    x = 35,445.50

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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.