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Finding the Fourth Proportional to 78,042.99, 117,058.47 and 21,880.13

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Solution

The fourth proportional to 78,042.99, 117,058.47 and 21,880.13 is: 32,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,042.99 : 117,058.47 = 21,880.13 : x
  2. Step 2: Convert to fraction form
    78,042.99/117,058.47 = 21,880.13/x
  3. Step 3: Cross multiply
    78,042.99x = 117,058.47 × 21,880.13
  4. Step 4: Simplify right side
    78,042.99x = 2,561,253,873.86
  5. Step 5: Solve for x
    x = 2,561,253,873.86/78,042.99
  6. Step 6: Final answer
    x = 32,818.50

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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.