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Finding the Fourth Proportional to 35,493.60, 53,221.20 and 14,719.20

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Solution

The fourth proportional to 35,493.60, 53,221.20 and 14,719.20 is: 22,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,493.60 : 53,221.20 = 14,719.20 : x
  2. Step 2: Convert to fraction form
    35,493.60/53,221.20 = 14,719.20/x
  3. Step 3: Cross multiply
    35,493.60x = 53,221.20 × 14,719.20
  4. Step 4: Simplify right side
    35,493.60x = 783,373,487.04
  5. Step 5: Solve for x
    x = 783,373,487.04/35,493.60
  6. Step 6: Final answer
    x = 22,070.84

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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.