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Finding the Fourth Proportional to 35,341.92, 48,757.88 and 22,774

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Solution

The fourth proportional to 35,341.92, 48,757.88 and 22,774 is: 31,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,341.92 : 48,757.88 = 22,774 : x
  2. Step 2: Convert to fraction form
    35,341.92/48,757.88 = 22,774/x
  3. Step 3: Cross multiply
    35,341.92x = 48,757.88 × 22,774
  4. Step 4: Simplify right side
    35,341.92x = 1,110,411,959.12
  5. Step 5: Solve for x
    x = 1,110,411,959.12/35,341.92
  6. Step 6: Final answer
    x = 31,419.12

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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.