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Finding the Fourth Proportional to 35,093.16, 52,580.34 and 21,213

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Solution

The fourth proportional to 35,093.16, 52,580.34 and 21,213 is: 31,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,093.16 : 52,580.34 = 21,213 : x
  2. Step 2: Convert to fraction form
    35,093.16/52,580.34 = 21,213/x
  3. Step 3: Cross multiply
    35,093.16x = 52,580.34 × 21,213
  4. Step 4: Simplify right side
    35,093.16x = 1,115,386,752.42
  5. Step 5: Solve for x
    x = 1,115,386,752.42/35,093.16
  6. Step 6: Final answer
    x = 31,783.59

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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.