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Finding the Fourth Proportional to 57,509.36, 79,358.64 and 32,354

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Solution

The fourth proportional to 57,509.36, 79,358.64 and 32,354 is: 44,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,509.36 : 79,358.64 = 32,354 : x
  2. Step 2: Convert to fraction form
    57,509.36/79,358.64 = 32,354/x
  3. Step 3: Cross multiply
    57,509.36x = 79,358.64 × 32,354
  4. Step 4: Simplify right side
    57,509.36x = 2,567,569,438.56
  5. Step 5: Solve for x
    x = 2,567,569,438.56/57,509.36
  6. Step 6: Final answer
    x = 44,646.11

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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.