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Finding the Fourth Proportional to 34,536.68, 47,614.74 and 22,579.46

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Solution

The fourth proportional to 34,536.68, 47,614.74 and 22,579.46 is: 31,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,536.68 : 47,614.74 = 22,579.46 : x
  2. Step 2: Convert to fraction form
    34,536.68/47,614.74 = 22,579.46/x
  3. Step 3: Cross multiply
    34,536.68x = 47,614.74 × 22,579.46
  4. Step 4: Simplify right side
    34,536.68x = 1,075,115,117.24
  5. Step 5: Solve for x
    x = 1,075,115,117.24/34,536.68
  6. Step 6: Final answer
    x = 31,129.66

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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.