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Finding the Fourth Proportional to 30,502.76, 42,055.85 and 23,341.55

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Solution

The fourth proportional to 30,502.76, 42,055.85 and 23,341.55 is: 32,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,502.76 : 42,055.85 = 23,341.55 : x
  2. Step 2: Convert to fraction form
    30,502.76/42,055.85 = 23,341.55/x
  3. Step 3: Cross multiply
    30,502.76x = 42,055.85 × 23,341.55
  4. Step 4: Simplify right side
    30,502.76x = 981,648,725.57
  5. Step 5: Solve for x
    x = 981,648,725.57/30,502.76
  6. Step 6: Final answer
    x = 32,182.29

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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.