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Finding the Fourth Proportional to 30,785.93, 42,464.34 and 21,226.22

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Solution

The fourth proportional to 30,785.93, 42,464.34 and 21,226.22 is: 29,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.93 : 42,464.34 = 21,226.22 : x
  2. Step 2: Convert to fraction form
    30,785.93/42,464.34 = 21,226.22/x
  3. Step 3: Cross multiply
    30,785.93x = 42,464.34 × 21,226.22
  4. Step 4: Simplify right side
    30,785.93x = 901,357,210.67
  5. Step 5: Solve for x
    x = 901,357,210.67/30,785.93
  6. Step 6: Final answer
    x = 29,278.22

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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.