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Finding the Fourth Proportional to 30,687.66, 42,367.05 and 28,916.22

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Solution

The fourth proportional to 30,687.66, 42,367.05 and 28,916.22 is: 39,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,687.66 : 42,367.05 = 28,916.22 : x
  2. Step 2: Convert to fraction form
    30,687.66/42,367.05 = 28,916.22/x
  3. Step 3: Cross multiply
    30,687.66x = 42,367.05 × 28,916.22
  4. Step 4: Simplify right side
    30,687.66x = 1,225,094,938.55
  5. Step 5: Solve for x
    x = 1,225,094,938.55/30,687.66
  6. Step 6: Final answer
    x = 39,921.42

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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.