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Finding the Fourth Proportional to 29,309.85, 40,465.94 and 22,582.71

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Solution

The fourth proportional to 29,309.85, 40,465.94 and 22,582.71 is: 31,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,309.85 : 40,465.94 = 22,582.71 : x
  2. Step 2: Convert to fraction form
    29,309.85/40,465.94 = 22,582.71/x
  3. Step 3: Cross multiply
    29,309.85x = 40,465.94 × 22,582.71
  4. Step 4: Simplify right side
    29,309.85x = 913,830,474.98
  5. Step 5: Solve for x
    x = 913,830,474.98/29,309.85
  6. Step 6: Final answer
    x = 31,178.27

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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.