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Finding the Fourth Proportional to 77,894.77, 116,795.42 and 35,722.02

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Solution

The fourth proportional to 77,894.77, 116,795.42 and 35,722.02 is: 53,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,894.77 : 116,795.42 = 35,722.02 : x
  2. Step 2: Convert to fraction form
    77,894.77/116,795.42 = 35,722.02/x
  3. Step 3: Cross multiply
    77,894.77x = 116,795.42 × 35,722.02
  4. Step 4: Simplify right side
    77,894.77x = 4,172,168,442.53
  5. Step 5: Solve for x
    x = 4,172,168,442.53/77,894.77
  6. Step 6: Final answer
    x = 53,561.60

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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.