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Finding the Fourth Proportional to 30,804.66, 42,507.23 and 22,742.60

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Solution

The fourth proportional to 30,804.66, 42,507.23 and 22,742.60 is: 31,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804.66 : 42,507.23 = 22,742.60 : x
  2. Step 2: Convert to fraction form
    30,804.66/42,507.23 = 22,742.60/x
  3. Step 3: Cross multiply
    30,804.66x = 42,507.23 × 22,742.60
  4. Step 4: Simplify right side
    30,804.66x = 966,724,929.00
  5. Step 5: Solve for x
    x = 966,724,929.00/30,804.66
  6. Step 6: Final answer
    x = 31,382.42

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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.