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Finding the Fourth Proportional to 96,592.30, 144,960.45 and 49,821.10

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Solution

The fourth proportional to 96,592.30, 144,960.45 and 49,821.10 is: 74,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,592.30 : 144,960.45 = 49,821.10 : x
  2. Step 2: Convert to fraction form
    96,592.30/144,960.45 = 49,821.10/x
  3. Step 3: Cross multiply
    96,592.30x = 144,960.45 × 49,821.10
  4. Step 4: Simplify right side
    96,592.30x = 7,222,089,075.50
  5. Step 5: Solve for x
    x = 7,222,089,075.50/96,592.30
  6. Step 6: Final answer
    x = 74,768.79

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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.