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Finding the Fourth Proportional to 96,442.80, 144,664.20 and 25,365.30

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Solution

The fourth proportional to 96,442.80, 144,664.20 and 25,365.30 is: 38,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,442.80 : 144,664.20 = 25,365.30 : x
  2. Step 2: Convert to fraction form
    96,442.80/144,664.20 = 25,365.30/x
  3. Step 3: Cross multiply
    96,442.80x = 144,664.20 × 25,365.30
  4. Step 4: Simplify right side
    96,442.80x = 3,669,450,832.26
  5. Step 5: Solve for x
    x = 3,669,450,832.26/96,442.80
  6. Step 6: Final answer
    x = 38,047.95

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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.