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Finding the Fourth Proportional to 30,742.20, 42,423.66 and 18,804.66

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Solution

The fourth proportional to 30,742.20, 42,423.66 and 18,804.66 is: 25,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.20 : 42,423.66 = 18,804.66 : x
  2. Step 2: Convert to fraction form
    30,742.20/42,423.66 = 18,804.66/x
  3. Step 3: Cross multiply
    30,742.20x = 42,423.66 × 18,804.66
  4. Step 4: Simplify right side
    30,742.20x = 797,762,502.26
  5. Step 5: Solve for x
    x = 797,762,502.26/30,742.20
  6. Step 6: Final answer
    x = 25,950.08

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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.