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Finding the Fourth Proportional to 57,782.52, 79,749.06 and 35,128.62

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Solution

The fourth proportional to 57,782.52, 79,749.06 and 35,128.62 is: 48,483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.52 : 79,749.06 = 35,128.62 : x
  2. Step 2: Convert to fraction form
    57,782.52/79,749.06 = 35,128.62/x
  3. Step 3: Cross multiply
    57,782.52x = 79,749.06 × 35,128.62
  4. Step 4: Simplify right side
    57,782.52x = 2,801,474,424.10
  5. Step 5: Solve for x
    x = 2,801,474,424.10/57,782.52
  6. Step 6: Final answer
    x = 48,483.08

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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.