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Finding the Fourth Proportional to 32,710.68, 49,066.32 and 13,979

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Solution

The fourth proportional to 32,710.68, 49,066.32 and 13,979 is: 20,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,710.68 : 49,066.32 = 13,979 : x
  2. Step 2: Convert to fraction form
    32,710.68/49,066.32 = 13,979/x
  3. Step 3: Cross multiply
    32,710.68x = 49,066.32 × 13,979
  4. Step 4: Simplify right side
    32,710.68x = 685,898,087.28
  5. Step 5: Solve for x
    x = 685,898,087.28/32,710.68
  6. Step 6: Final answer
    x = 20,968.63

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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.