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Finding the Fourth Proportional to 51,416.58, 70,978.77 and 32,579.22

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Solution

The fourth proportional to 51,416.58, 70,978.77 and 32,579.22 is: 44,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,416.58 : 70,978.77 = 32,579.22 : x
  2. Step 2: Convert to fraction form
    51,416.58/70,978.77 = 32,579.22/x
  3. Step 3: Cross multiply
    51,416.58x = 70,978.77 × 32,579.22
  4. Step 4: Simplify right side
    51,416.58x = 2,312,432,963.16
  5. Step 5: Solve for x
    x = 2,312,432,963.16/51,416.58
  6. Step 6: Final answer
    x = 44,974.46

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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.