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Finding the Fourth Proportional to 52,971.48, 73,023.66 and 37,006.38

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Solution

The fourth proportional to 52,971.48, 73,023.66 and 37,006.38 is: 51,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,971.48 : 73,023.66 = 37,006.38 : x
  2. Step 2: Convert to fraction form
    52,971.48/73,023.66 = 37,006.38/x
  3. Step 3: Cross multiply
    52,971.48x = 73,023.66 × 37,006.38
  4. Step 4: Simplify right side
    52,971.48x = 2,702,341,310.95
  5. Step 5: Solve for x
    x = 2,702,341,310.95/52,971.48
  6. Step 6: Final answer
    x = 51,015.02

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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.