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Finding the Fourth Proportional to 107,265.74, 160,924.63 and 32,381.42

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Solution

The fourth proportional to 107,265.74, 160,924.63 and 32,381.42 is: 48,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,265.74 : 160,924.63 = 32,381.42 : x
  2. Step 2: Convert to fraction form
    107,265.74/160,924.63 = 32,381.42/x
  3. Step 3: Cross multiply
    107,265.74x = 160,924.63 × 32,381.42
  4. Step 4: Simplify right side
    107,265.74x = 5,210,967,549.11
  5. Step 5: Solve for x
    x = 5,210,967,549.11/107,265.74
  6. Step 6: Final answer
    x = 48,579.98

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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.