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Finding the Fourth Proportional to 43,042.84, 64,577.22 and 15,343

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Solution

The fourth proportional to 43,042.84, 64,577.22 and 15,343 is: 23,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,042.84 : 64,577.22 = 15,343 : x
  2. Step 2: Convert to fraction form
    43,042.84/64,577.22 = 15,343/x
  3. Step 3: Cross multiply
    43,042.84x = 64,577.22 × 15,343
  4. Step 4: Simplify right side
    43,042.84x = 990,808,286.46
  5. Step 5: Solve for x
    x = 990,808,286.46/43,042.84
  6. Step 6: Final answer
    x = 23,019.12

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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.