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Finding the Fourth Proportional to 96,503.16, 144,664.02 and 52,063.32

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Solution

The fourth proportional to 96,503.16, 144,664.02 and 52,063.32 is: 78,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,503.16 : 144,664.02 = 52,063.32 : x
  2. Step 2: Convert to fraction form
    96,503.16/144,664.02 = 52,063.32/x
  3. Step 3: Cross multiply
    96,503.16x = 144,664.02 × 52,063.32
  4. Step 4: Simplify right side
    96,503.16x = 7,531,689,165.75
  5. Step 5: Solve for x
    x = 7,531,689,165.75/96,503.16
  6. Step 6: Final answer
    x = 78,046.04

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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.