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Finding the Fourth Proportional to 43,294.06, 64,935.42 and 13,712.14

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Solution

The fourth proportional to 43,294.06, 64,935.42 and 13,712.14 is: 20,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,294.06 : 64,935.42 = 13,712.14 : x
  2. Step 2: Convert to fraction form
    43,294.06/64,935.42 = 13,712.14/x
  3. Step 3: Cross multiply
    43,294.06x = 64,935.42 × 13,712.14
  4. Step 4: Simplify right side
    43,294.06x = 890,403,570.00
  5. Step 5: Solve for x
    x = 890,403,570.00/43,294.06
  6. Step 6: Final answer
    x = 20,566.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.