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Finding the Fourth Proportional to 104,436, 144,121.68 and 59,724

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Solution

The fourth proportional to 104,436, 144,121.68 and 59,724 is: 82,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,436 : 144,121.68 = 59,724 : x
  2. Step 2: Convert to fraction form
    104,436/144,121.68 = 59,724/x
  3. Step 3: Cross multiply
    104,436x = 144,121.68 × 59,724
  4. Step 4: Simplify right side
    104,436x = 8,607,523,216.32
  5. Step 5: Solve for x
    x = 8,607,523,216.32/104,436
  6. Step 6: Final answer
    x = 82,419.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.