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Finding the Fourth Proportional to 57,838.88, 79,829.52 and 33,978.08

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Solution

The fourth proportional to 57,838.88, 79,829.52 and 33,978.08 is: 46,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,838.88 : 79,829.52 = 33,978.08 : x
  2. Step 2: Convert to fraction form
    57,838.88/79,829.52 = 33,978.08/x
  3. Step 3: Cross multiply
    57,838.88x = 79,829.52 × 33,978.08
  4. Step 4: Simplify right side
    57,838.88x = 2,712,453,816.92
  5. Step 5: Solve for x
    x = 2,712,453,816.92/57,838.88
  6. Step 6: Final answer
    x = 46,896.72

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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.