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Finding the Fourth Proportional to 65,214.61, 89,996.03 and 36,922.93

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Solution

The fourth proportional to 65,214.61, 89,996.03 and 36,922.93 is: 50,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,214.61 : 89,996.03 = 36,922.93 : x
  2. Step 2: Convert to fraction form
    65,214.61/89,996.03 = 36,922.93/x
  3. Step 3: Cross multiply
    65,214.61x = 89,996.03 × 36,922.93
  4. Step 4: Simplify right side
    65,214.61x = 3,322,916,844.82
  5. Step 5: Solve for x
    x = 3,322,916,844.82/65,214.61
  6. Step 6: Final answer
    x = 50,953.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.