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Finding the Fourth Proportional to 47,293.52, 65,264.72 and 25,783.20

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Solution

The fourth proportional to 47,293.52, 65,264.72 and 25,783.20 is: 35,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,293.52 : 65,264.72 = 25,783.20 : x
  2. Step 2: Convert to fraction form
    47,293.52/65,264.72 = 25,783.20/x
  3. Step 3: Cross multiply
    47,293.52x = 65,264.72 × 25,783.20
  4. Step 4: Simplify right side
    47,293.52x = 1,682,733,328.70
  5. Step 5: Solve for x
    x = 1,682,733,328.70/47,293.52
  6. Step 6: Final answer
    x = 35,580.63

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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.