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Finding the Fourth Proportional to 96,529.60, 144,794.40 and 34,206.40

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Solution

The fourth proportional to 96,529.60, 144,794.40 and 34,206.40 is: 51,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,529.60 : 144,794.40 = 34,206.40 : x
  2. Step 2: Convert to fraction form
    96,529.60/144,794.40 = 34,206.40/x
  3. Step 3: Cross multiply
    96,529.60x = 144,794.40 × 34,206.40
  4. Step 4: Simplify right side
    96,529.60x = 4,952,895,164.16
  5. Step 5: Solve for x
    x = 4,952,895,164.16/96,529.60
  6. Step 6: Final answer
    x = 51,309.60

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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.