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Finding the Fourth Proportional to 64,705.73, 97,062.78 and 20,334.34

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Solution

The fourth proportional to 64,705.73, 97,062.78 and 20,334.34 is: 30,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,705.73 : 97,062.78 = 20,334.34 : x
  2. Step 2: Convert to fraction form
    64,705.73/97,062.78 = 20,334.34/x
  3. Step 3: Cross multiply
    64,705.73x = 97,062.78 × 20,334.34
  4. Step 4: Simplify right side
    64,705.73x = 1,973,707,084.55
  5. Step 5: Solve for x
    x = 1,973,707,084.55/64,705.73
  6. Step 6: Final answer
    x = 30,502.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.