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Finding the Fourth Proportional to 97,808.76, 134,976.78 and 53,096.76

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Solution

The fourth proportional to 97,808.76, 134,976.78 and 53,096.76 is: 73,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,808.76 : 134,976.78 = 53,096.76 : x
  2. Step 2: Convert to fraction form
    97,808.76/134,976.78 = 53,096.76/x
  3. Step 3: Cross multiply
    97,808.76x = 134,976.78 × 53,096.76
  4. Step 4: Simplify right side
    97,808.76x = 7,166,829,693.23
  5. Step 5: Solve for x
    x = 7,166,829,693.23/97,808.76
  6. Step 6: Final answer
    x = 73,273.90

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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.