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Finding the Fourth Proportional to 100,046.13, 150,053.47 and 32,580.60

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Solution

The fourth proportional to 100,046.13, 150,053.47 and 32,580.60 is: 48,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,046.13 : 150,053.47 = 32,580.60 : x
  2. Step 2: Convert to fraction form
    100,046.13/150,053.47 = 32,580.60/x
  3. Step 3: Cross multiply
    100,046.13x = 150,053.47 × 32,580.60
  4. Step 4: Simplify right side
    100,046.13x = 4,888,831,440.53
  5. Step 5: Solve for x
    x = 4,888,831,440.53/100,046.13
  6. Step 6: Final answer
    x = 48,865.77

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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.