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Finding the Fourth Proportional to 64,694.70, 97,009.65 and 29,594.70

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Solution

The fourth proportional to 64,694.70, 97,009.65 and 29,594.70 is: 44,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,694.70 : 97,009.65 = 29,594.70 : x
  2. Step 2: Convert to fraction form
    64,694.70/97,009.65 = 29,594.70/x
  3. Step 3: Cross multiply
    64,694.70x = 97,009.65 × 29,594.70
  4. Step 4: Simplify right side
    64,694.70x = 2,870,971,488.86
  5. Step 5: Solve for x
    x = 2,870,971,488.86/64,694.70
  6. Step 6: Final answer
    x = 44,377.23

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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.