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Finding the Fourth Proportional to 52,970.75, 73,101.23 and 29,097.41

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Solution

The fourth proportional to 52,970.75, 73,101.23 and 29,097.41 is: 40,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,970.75 : 73,101.23 = 29,097.41 : x
  2. Step 2: Convert to fraction form
    52,970.75/73,101.23 = 29,097.41/x
  3. Step 3: Cross multiply
    52,970.75x = 73,101.23 × 29,097.41
  4. Step 4: Simplify right side
    52,970.75x = 2,127,055,949.82
  5. Step 5: Solve for x
    x = 2,127,055,949.82/52,970.75
  6. Step 6: Final answer
    x = 40,155.30

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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.