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Finding the Fourth Proportional to 52,076.64, 71,865.36 and 28,203.24

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Solution

The fourth proportional to 52,076.64, 71,865.36 and 28,203.24 is: 38,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,076.64 : 71,865.36 = 28,203.24 : x
  2. Step 2: Convert to fraction form
    52,076.64/71,865.36 = 28,203.24/x
  3. Step 3: Cross multiply
    52,076.64x = 71,865.36 × 28,203.24
  4. Step 4: Simplify right side
    52,076.64x = 2,026,835,995.77
  5. Step 5: Solve for x
    x = 2,026,835,995.77/52,076.64
  6. Step 6: Final answer
    x = 38,920.25

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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.