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Finding the Fourth Proportional to 57,821.64, 79,764.63 and 38,702.22

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Solution

The fourth proportional to 57,821.64, 79,764.63 and 38,702.22 is: 53,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,821.64 : 79,764.63 = 38,702.22 : x
  2. Step 2: Convert to fraction form
    57,821.64/79,764.63 = 38,702.22/x
  3. Step 3: Cross multiply
    57,821.64x = 79,764.63 × 38,702.22
  4. Step 4: Simplify right side
    57,821.64x = 3,087,068,258.48
  5. Step 5: Solve for x
    x = 3,087,068,258.48/57,821.64
  6. Step 6: Final answer
    x = 53,389.50

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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.