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Finding the Fourth Proportional to 57,582.76, 79,462.90 and 32,089

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Solution

The fourth proportional to 57,582.76, 79,462.90 and 32,089 is: 44,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,582.76 : 79,462.90 = 32,089 : x
  2. Step 2: Convert to fraction form
    57,582.76/79,462.90 = 32,089/x
  3. Step 3: Cross multiply
    57,582.76x = 79,462.90 × 32,089
  4. Step 4: Simplify right side
    57,582.76x = 2,549,884,998.10
  5. Step 5: Solve for x
    x = 2,549,884,998.10/57,582.76
  6. Step 6: Final answer
    x = 44,282.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.