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Finding the Fourth Proportional to 35,248.24, 52,832.04 and 14,446

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Solution

The fourth proportional to 35,248.24, 52,832.04 and 14,446 is: 21,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,248.24 : 52,832.04 = 14,446 : x
  2. Step 2: Convert to fraction form
    35,248.24/52,832.04 = 14,446/x
  3. Step 3: Cross multiply
    35,248.24x = 52,832.04 × 14,446
  4. Step 4: Simplify right side
    35,248.24x = 763,211,649.84
  5. Step 5: Solve for x
    x = 763,211,649.84/35,248.24
  6. Step 6: Final answer
    x = 21,652.48

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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.