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Finding the Fourth Proportional to 57,681.16, 79,583.22 and 36,188.68

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Solution

The fourth proportional to 57,681.16, 79,583.22 and 36,188.68 is: 49,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,681.16 : 79,583.22 = 36,188.68 : x
  2. Step 2: Convert to fraction form
    57,681.16/79,583.22 = 36,188.68/x
  3. Step 3: Cross multiply
    57,681.16x = 79,583.22 × 36,188.68
  4. Step 4: Simplify right side
    57,681.16x = 2,880,011,681.95
  5. Step 5: Solve for x
    x = 2,880,011,681.95/57,681.16
  6. Step 6: Final answer
    x = 49,929.85

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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.