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Finding the Fourth Proportional to 52,648.60, 78,905.70 and 21,448.60

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Solution

The fourth proportional to 52,648.60, 78,905.70 and 21,448.60 is: 32,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648.60 : 78,905.70 = 21,448.60 : x
  2. Step 2: Convert to fraction form
    52,648.60/78,905.70 = 21,448.60/x
  3. Step 3: Cross multiply
    52,648.60x = 78,905.70 × 21,448.60
  4. Step 4: Simplify right side
    52,648.60x = 1,692,416,797.02
  5. Step 5: Solve for x
    x = 1,692,416,797.02/52,648.60
  6. Step 6: Final answer
    x = 32,145.52

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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.