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Finding the Fourth Proportional to 47,298.52, 65,283.33 and 28,432

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Solution

The fourth proportional to 47,298.52, 65,283.33 and 28,432 is: 39,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,298.52 : 65,283.33 = 28,432 : x
  2. Step 2: Convert to fraction form
    47,298.52/65,283.33 = 28,432/x
  3. Step 3: Cross multiply
    47,298.52x = 65,283.33 × 28,432
  4. Step 4: Simplify right side
    47,298.52x = 1,856,135,638.56
  5. Step 5: Solve for x
    x = 1,856,135,638.56/47,298.52
  6. Step 6: Final answer
    x = 39,243.00

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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.