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Finding the Fourth Proportional to 51,167.84, 70,622.70 and 32,301.32

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Solution

The fourth proportional to 51,167.84, 70,622.70 and 32,301.32 is: 44,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,167.84 : 70,622.70 = 32,301.32 : x
  2. Step 2: Convert to fraction form
    51,167.84/70,622.70 = 32,301.32/x
  3. Step 3: Cross multiply
    51,167.84x = 70,622.70 × 32,301.32
  4. Step 4: Simplify right side
    51,167.84x = 2,281,206,431.96
  5. Step 5: Solve for x
    x = 2,281,206,431.96/51,167.84
  6. Step 6: Final answer
    x = 44,582.82

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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.