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Finding the Fourth Proportional to 96,392.54, 144,602.94 and 29,838.62

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Solution

The fourth proportional to 96,392.54, 144,602.94 and 29,838.62 is: 44,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,392.54 : 144,602.94 = 29,838.62 : x
  2. Step 2: Convert to fraction form
    96,392.54/144,602.94 = 29,838.62/x
  3. Step 3: Cross multiply
    96,392.54x = 144,602.94 × 29,838.62
  4. Step 4: Simplify right side
    96,392.54x = 4,314,752,177.54
  5. Step 5: Solve for x
    x = 4,314,752,177.54/96,392.54
  6. Step 6: Final answer
    x = 44,762.30

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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.