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Finding the Fourth Proportional to 96,622.40, 144,933.60 and 52,385.60

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Solution

The fourth proportional to 96,622.40, 144,933.60 and 52,385.60 is: 78,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,622.40 : 144,933.60 = 52,385.60 : x
  2. Step 2: Convert to fraction form
    96,622.40/144,933.60 = 52,385.60/x
  3. Step 3: Cross multiply
    96,622.40x = 144,933.60 × 52,385.60
  4. Step 4: Simplify right side
    96,622.40x = 7,592,433,596.16
  5. Step 5: Solve for x
    x = 7,592,433,596.16/96,622.40
  6. Step 6: Final answer
    x = 78,578.40

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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.