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Finding the Fourth Proportional to 72,232.27, 108,277.32 and 42,208.41

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Solution

The fourth proportional to 72,232.27, 108,277.32 and 42,208.41 is: 63,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,232.27 : 108,277.32 = 42,208.41 : x
  2. Step 2: Convert to fraction form
    72,232.27/108,277.32 = 42,208.41/x
  3. Step 3: Cross multiply
    72,232.27x = 108,277.32 × 42,208.41
  4. Step 4: Simplify right side
    72,232.27x = 4,570,213,471.52
  5. Step 5: Solve for x
    x = 4,570,213,471.52/72,232.27
  6. Step 6: Final answer
    x = 63,271.07

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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.