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Finding the Fourth Proportional to 97,755, 134,901.90 and 53,043

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Solution

The fourth proportional to 97,755, 134,901.90 and 53,043 is: 73,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,755 : 134,901.90 = 53,043 : x
  2. Step 2: Convert to fraction form
    97,755/134,901.90 = 53,043/x
  3. Step 3: Cross multiply
    97,755x = 134,901.90 × 53,043
  4. Step 4: Simplify right side
    97,755x = 7,155,601,481.70
  5. Step 5: Solve for x
    x = 7,155,601,481.70/97,755
  6. Step 6: Final answer
    x = 73,199.34

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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.