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Finding the Fourth Proportional to 72,157.82, 108,237.54 and 22,237.52

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Solution

The fourth proportional to 72,157.82, 108,237.54 and 22,237.52 is: 33,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,157.82 : 108,237.54 = 22,237.52 : x
  2. Step 2: Convert to fraction form
    72,157.82/108,237.54 = 22,237.52/x
  3. Step 3: Cross multiply
    72,157.82x = 108,237.54 × 22,237.52
  4. Step 4: Simplify right side
    72,157.82x = 2,406,934,460.50
  5. Step 5: Solve for x
    x = 2,406,934,460.50/72,157.82
  6. Step 6: Final answer
    x = 33,356.53

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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.