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Finding the Fourth Proportional to 51,089.58, 70,495.38 and 31,967.10

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Solution

The fourth proportional to 51,089.58, 70,495.38 and 31,967.10 is: 44,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,089.58 : 70,495.38 = 31,967.10 : x
  2. Step 2: Convert to fraction form
    51,089.58/70,495.38 = 31,967.10/x
  3. Step 3: Cross multiply
    51,089.58x = 70,495.38 × 31,967.10
  4. Step 4: Simplify right side
    51,089.58x = 2,253,532,862.00
  5. Step 5: Solve for x
    x = 2,253,532,862.00/51,089.58
  6. Step 6: Final answer
    x = 44,109.44

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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.