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Finding the Fourth Proportional to 65,299.87, 97,818.58 and 34,069.51

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Solution

The fourth proportional to 65,299.87, 97,818.58 and 34,069.51 is: 51,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,299.87 : 97,818.58 = 34,069.51 : x
  2. Step 2: Convert to fraction form
    65,299.87/97,818.58 = 34,069.51/x
  3. Step 3: Cross multiply
    65,299.87x = 97,818.58 × 34,069.51
  4. Step 4: Simplify right side
    65,299.87x = 3,332,631,089.50
  5. Step 5: Solve for x
    x = 3,332,631,089.50/65,299.87
  6. Step 6: Final answer
    x = 51,035.80

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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.