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Finding the Fourth Proportional to 107,294.67, 160,923.77 and 28,416.87

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Solution

The fourth proportional to 107,294.67, 160,923.77 and 28,416.87 is: 42,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,294.67 : 160,923.77 = 28,416.87 : x
  2. Step 2: Convert to fraction form
    107,294.67/160,923.77 = 28,416.87/x
  3. Step 3: Cross multiply
    107,294.67x = 160,923.77 × 28,416.87
  4. Step 4: Simplify right side
    107,294.67x = 4,572,949,852.00
  5. Step 5: Solve for x
    x = 4,572,949,852.00/107,294.67
  6. Step 6: Final answer
    x = 42,620.48

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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.