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Finding the Fourth Proportional to 77,844, 116,805.60 and 35,724

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Solution

The fourth proportional to 77,844, 116,805.60 and 35,724 is: 53,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,844 : 116,805.60 = 35,724 : x
  2. Step 2: Convert to fraction form
    77,844/116,805.60 = 35,724/x
  3. Step 3: Cross multiply
    77,844x = 116,805.60 × 35,724
  4. Step 4: Simplify right side
    77,844x = 4,172,763,254.40
  5. Step 5: Solve for x
    x = 4,172,763,254.40/77,844
  6. Step 6: Final answer
    x = 53,604.17

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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.