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Finding the Fourth Proportional to 72,120.93, 108,176.54 and 30,567.93

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Solution

The fourth proportional to 72,120.93, 108,176.54 and 30,567.93 is: 45,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,120.93 : 108,176.54 = 30,567.93 : x
  2. Step 2: Convert to fraction form
    72,120.93/108,176.54 = 30,567.93/x
  3. Step 3: Cross multiply
    72,120.93x = 108,176.54 × 30,567.93
  4. Step 4: Simplify right side
    72,120.93x = 3,306,732,749.52
  5. Step 5: Solve for x
    x = 3,306,732,749.52/72,120.93
  6. Step 6: Final answer
    x = 45,849.84

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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.