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Finding the Fourth Proportional to 77,864.35, 116,804.67 and 35,737.24

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Solution

The fourth proportional to 77,864.35, 116,804.67 and 35,737.24 is: 53,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,864.35 : 116,804.67 = 35,737.24 : x
  2. Step 2: Convert to fraction form
    77,864.35/116,804.67 = 35,737.24/x
  3. Step 3: Cross multiply
    77,864.35x = 116,804.67 × 35,737.24
  4. Step 4: Simplify right side
    77,864.35x = 4,174,276,524.91
  5. Step 5: Solve for x
    x = 4,174,276,524.91/77,864.35
  6. Step 6: Final answer
    x = 53,609.60

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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.