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Finding the Fourth Proportional to 52,145.60, 78,256.80 and 21,003.20

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Solution

The fourth proportional to 52,145.60, 78,256.80 and 21,003.20 is: 31,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,145.60 : 78,256.80 = 21,003.20 : x
  2. Step 2: Convert to fraction form
    52,145.60/78,256.80 = 21,003.20/x
  3. Step 3: Cross multiply
    52,145.60x = 78,256.80 × 21,003.20
  4. Step 4: Simplify right side
    52,145.60x = 1,643,643,221.76
  5. Step 5: Solve for x
    x = 1,643,643,221.76/52,145.60
  6. Step 6: Final answer
    x = 31,520.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.