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Finding the Fourth Proportional to 65,507.23, 90,390.86 and 36,822.83

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Solution

The fourth proportional to 65,507.23, 90,390.86 and 36,822.83 is: 50,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,507.23 : 90,390.86 = 36,822.83 : x
  2. Step 2: Convert to fraction form
    65,507.23/90,390.86 = 36,822.83/x
  3. Step 3: Cross multiply
    65,507.23x = 90,390.86 × 36,822.83
  4. Step 4: Simplify right side
    65,507.23x = 3,328,447,451.28
  5. Step 5: Solve for x
    x = 3,328,447,451.28/65,507.23
  6. Step 6: Final answer
    x = 50,810.39

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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.