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Finding the Fourth Proportional to 107,291.82, 160,938.94 and 32,412.58

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Solution

The fourth proportional to 107,291.82, 160,938.94 and 32,412.58 is: 48,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,291.82 : 160,938.94 = 32,412.58 : x
  2. Step 2: Convert to fraction form
    107,291.82/160,938.94 = 32,412.58/x
  3. Step 3: Cross multiply
    107,291.82x = 160,938.94 × 32,412.58
  4. Step 4: Simplify right side
    107,291.82x = 5,216,446,267.87
  5. Step 5: Solve for x
    x = 5,216,446,267.87/107,291.82
  6. Step 6: Final answer
    x = 48,619.24

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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.