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Finding the Fourth Proportional to 47,807.48, 71,720.32 and 22,849.48

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Solution

The fourth proportional to 47,807.48, 71,720.32 and 22,849.48 is: 34,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,807.48 : 71,720.32 = 22,849.48 : x
  2. Step 2: Convert to fraction form
    47,807.48/71,720.32 = 22,849.48/x
  3. Step 3: Cross multiply
    47,807.48x = 71,720.32 × 22,849.48
  4. Step 4: Simplify right side
    47,807.48x = 1,638,772,017.43
  5. Step 5: Solve for x
    x = 1,638,772,017.43/47,807.48
  6. Step 6: Final answer
    x = 34,278.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.