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Finding the Fourth Proportional to 31,602.56, 43,615.73 and 30,564.07

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Solution

The fourth proportional to 31,602.56, 43,615.73 and 30,564.07 is: 42,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.56 : 43,615.73 = 30,564.07 : x
  2. Step 2: Convert to fraction form
    31,602.56/43,615.73 = 30,564.07/x
  3. Step 3: Cross multiply
    31,602.56x = 43,615.73 × 30,564.07
  4. Step 4: Simplify right side
    31,602.56x = 1,333,074,192.19
  5. Step 5: Solve for x
    x = 1,333,074,192.19/31,602.56
  6. Step 6: Final answer
    x = 42,182.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.