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Finding the Fourth Proportional to 65,298.87, 97,817.09 and 34,068.51

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Solution

The fourth proportional to 65,298.87, 97,817.09 and 34,068.51 is: 51,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,298.87 : 97,817.09 = 34,068.51 : x
  2. Step 2: Convert to fraction form
    65,298.87/97,817.09 = 34,068.51/x
  3. Step 3: Cross multiply
    65,298.87x = 97,817.09 × 34,068.51
  4. Step 4: Simplify right side
    65,298.87x = 3,332,482,338.49
  5. Step 5: Solve for x
    x = 3,332,482,338.49/65,298.87
  6. Step 6: Final answer
    x = 51,034.30

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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.