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Finding the Fourth Proportional to 107,291.48, 160,874.48 and 32,389.16

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Solution

The fourth proportional to 107,291.48, 160,874.48 and 32,389.16 is: 48,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,291.48 : 160,874.48 = 32,389.16 : x
  2. Step 2: Convert to fraction form
    107,291.48/160,874.48 = 32,389.16/x
  3. Step 3: Cross multiply
    107,291.48x = 160,874.48 × 32,389.16
  4. Step 4: Simplify right side
    107,291.48x = 5,210,589,272.64
  5. Step 5: Solve for x
    x = 5,210,589,272.64/107,291.48
  6. Step 6: Final answer
    x = 48,564.80

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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.