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Finding the Fourth Proportional to 57,079.24, 78,762.58 and 31,582.24

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Solution

The fourth proportional to 57,079.24, 78,762.58 and 31,582.24 is: 43,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,079.24 : 78,762.58 = 31,582.24 : x
  2. Step 2: Convert to fraction form
    57,079.24/78,762.58 = 31,582.24/x
  3. Step 3: Cross multiply
    57,079.24x = 78,762.58 × 31,582.24
  4. Step 4: Simplify right side
    57,079.24x = 2,487,498,704.58
  5. Step 5: Solve for x
    x = 2,487,498,704.58/57,079.24
  6. Step 6: Final answer
    x = 43,579.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.