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Finding the Fourth Proportional to 92,161.51, 138,020.83 and 52,598.68

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Solution

The fourth proportional to 92,161.51, 138,020.83 and 52,598.68 is: 78,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,161.51 : 138,020.83 = 52,598.68 : x
  2. Step 2: Convert to fraction form
    92,161.51/138,020.83 = 52,598.68/x
  3. Step 3: Cross multiply
    92,161.51x = 138,020.83 × 52,598.68
  4. Step 4: Simplify right side
    92,161.51x = 7,259,713,470.50
  5. Step 5: Solve for x
    x = 7,259,713,470.50/92,161.51
  6. Step 6: Final answer
    x = 78,771.64

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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.