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Finding the Fourth Proportional to 72,765.48, 109,148.12 and 22,849.46

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Solution

The fourth proportional to 72,765.48, 109,148.12 and 22,849.46 is: 34,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,765.48 : 109,148.12 = 22,849.46 : x
  2. Step 2: Convert to fraction form
    72,765.48/109,148.12 = 22,849.46/x
  3. Step 3: Cross multiply
    72,765.48x = 109,148.12 × 22,849.46
  4. Step 4: Simplify right side
    72,765.48x = 2,493,975,602.02
  5. Step 5: Solve for x
    x = 2,493,975,602.02/72,765.48
  6. Step 6: Final answer
    x = 34,274.16

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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.