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Finding the Fourth Proportional to 96,592.80, 144,920.76 and 46,678.64

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Solution

The fourth proportional to 96,592.80, 144,920.76 and 46,678.64 is: 70,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,592.80 : 144,920.76 = 46,678.64 : x
  2. Step 2: Convert to fraction form
    96,592.80/144,920.76 = 46,678.64/x
  3. Step 3: Cross multiply
    96,592.80x = 144,920.76 × 46,678.64
  4. Step 4: Simplify right side
    96,592.80x = 6,764,703,984.57
  5. Step 5: Solve for x
    x = 6,764,703,984.57/96,592.80
  6. Step 6: Final answer
    x = 70,033.21

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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.