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Finding the Fourth Proportional to 30,804.86, 42,507.54 and 22,742.79

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Solution

The fourth proportional to 30,804.86, 42,507.54 and 22,742.79 is: 31,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804.86 : 42,507.54 = 22,742.79 : x
  2. Step 2: Convert to fraction form
    30,804.86/42,507.54 = 22,742.79/x
  3. Step 3: Cross multiply
    30,804.86x = 42,507.54 × 22,742.79
  4. Step 4: Simplify right side
    30,804.86x = 966,740,055.64
  5. Step 5: Solve for x
    x = 966,740,055.64/30,804.86
  6. Step 6: Final answer
    x = 31,382.72

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Why These Related Problems?

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