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Finding the Fourth Proportional to 65,158.42, 89,927.10 and 36,489.01

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Solution

The fourth proportional to 65,158.42, 89,927.10 and 36,489.01 is: 50,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,158.42 : 89,927.10 = 36,489.01 : x
  2. Step 2: Convert to fraction form
    65,158.42/89,927.10 = 36,489.01/x
  3. Step 3: Cross multiply
    65,158.42x = 89,927.10 × 36,489.01
  4. Step 4: Simplify right side
    65,158.42x = 3,281,350,851.17
  5. Step 5: Solve for x
    x = 3,281,350,851.17/65,158.42
  6. Step 6: Final answer
    x = 50,359.58

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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.