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Finding the Fourth Proportional to 52,876.52, 72,971.64 and 29,004.20

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Solution

The fourth proportional to 52,876.52, 72,971.64 and 29,004.20 is: 40,026.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,876.52 : 72,971.64 = 29,004.20 : x
  2. Step 2: Convert to fraction form
    52,876.52/72,971.64 = 29,004.20/x
  3. Step 3: Cross multiply
    52,876.52x = 72,971.64 × 29,004.20
  4. Step 4: Simplify right side
    52,876.52x = 2,116,484,040.89
  5. Step 5: Solve for x
    x = 2,116,484,040.89/52,876.52
  6. Step 6: Final answer
    x = 40,026.92

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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.