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Finding the Fourth Proportional to 47,299.52, 65,284.71 and 28,433

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Solution

The fourth proportional to 47,299.52, 65,284.71 and 28,433 is: 39,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,299.52 : 65,284.71 = 28,433 : x
  2. Step 2: Convert to fraction form
    47,299.52/65,284.71 = 28,433/x
  3. Step 3: Cross multiply
    47,299.52x = 65,284.71 × 28,433
  4. Step 4: Simplify right side
    47,299.52x = 1,856,240,159.43
  5. Step 5: Solve for x
    x = 1,856,240,159.43/47,299.52
  6. Step 6: Final answer
    x = 39,244.38

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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.