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Finding the Fourth Proportional to 97,869.70, 146,763.02 and 34,705.70

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Solution

The fourth proportional to 97,869.70, 146,763.02 and 34,705.70 is: 52,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,869.70 : 146,763.02 = 34,705.70 : x
  2. Step 2: Convert to fraction form
    97,869.70/146,763.02 = 34,705.70/x
  3. Step 3: Cross multiply
    97,869.70x = 146,763.02 × 34,705.70
  4. Step 4: Simplify right side
    97,869.70x = 5,093,513,246.52
  5. Step 5: Solve for x
    x = 5,093,513,246.52/97,869.70
  6. Step 6: Final answer
    x = 52,043.82

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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.