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Finding the Fourth Proportional to 53,697.92, 74,101.60 and 29,824

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Solution

The fourth proportional to 53,697.92, 74,101.60 and 29,824 is: 41,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,697.92 : 74,101.60 = 29,824 : x
  2. Step 2: Convert to fraction form
    53,697.92/74,101.60 = 29,824/x
  3. Step 3: Cross multiply
    53,697.92x = 74,101.60 × 29,824
  4. Step 4: Simplify right side
    53,697.92x = 2,210,006,118.40
  5. Step 5: Solve for x
    x = 2,210,006,118.40/53,697.92
  6. Step 6: Final answer
    x = 41,156.27

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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.