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Finding the Fourth Proportional to 77,395, 116,047.32 and 24,072.52

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Solution

The fourth proportional to 77,395, 116,047.32 and 24,072.52 is: 36,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,395 : 116,047.32 = 24,072.52 : x
  2. Step 2: Convert to fraction form
    77,395/116,047.32 = 24,072.52/x
  3. Step 3: Cross multiply
    77,395x = 116,047.32 × 24,072.52
  4. Step 4: Simplify right side
    77,395x = 2,793,551,431.65
  5. Step 5: Solve for x
    x = 2,793,551,431.65/77,395
  6. Step 6: Final answer
    x = 36,094.73

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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.