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Finding the Fourth Proportional to 53,573.76, 73,930.16 and 29,699

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Solution

The fourth proportional to 53,573.76, 73,930.16 and 29,699 is: 40,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,573.76 : 73,930.16 = 29,699 : x
  2. Step 2: Convert to fraction form
    53,573.76/73,930.16 = 29,699/x
  3. Step 3: Cross multiply
    53,573.76x = 73,930.16 × 29,699
  4. Step 4: Simplify right side
    53,573.76x = 2,195,651,821.84
  5. Step 5: Solve for x
    x = 2,195,651,821.84/53,573.76
  6. Step 6: Final answer
    x = 40,983.72

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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.