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Finding the Fourth Proportional to 47,737.32, 65,879.37 and 32,661.60

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Solution

The fourth proportional to 47,737.32, 65,879.37 and 32,661.60 is: 45,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,737.32 : 65,879.37 = 32,661.60 : x
  2. Step 2: Convert to fraction form
    47,737.32/65,879.37 = 32,661.60/x
  3. Step 3: Cross multiply
    47,737.32x = 65,879.37 × 32,661.60
  4. Step 4: Simplify right side
    47,737.32x = 2,151,725,631.19
  5. Step 5: Solve for x
    x = 2,151,725,631.19/47,737.32
  6. Step 6: Final answer
    x = 45,074.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.