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Finding the Fourth Proportional to 97,735.66, 134,875.47 and 53,023.66

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Solution

The fourth proportional to 97,735.66, 134,875.47 and 53,023.66 is: 73,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,735.66 : 134,875.47 = 53,023.66 : x
  2. Step 2: Convert to fraction form
    97,735.66/134,875.47 = 53,023.66/x
  3. Step 3: Cross multiply
    97,735.66x = 134,875.47 × 53,023.66
  4. Step 4: Simplify right side
    97,735.66x = 7,151,591,063.62
  5. Step 5: Solve for x
    x = 7,151,591,063.62/97,735.66
  6. Step 6: Final answer
    x = 73,172.79

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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.