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Finding the Fourth Proportional to 29,510.90, 40,725.06 and 16,082.16

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Solution

The fourth proportional to 29,510.90, 40,725.06 and 16,082.16 is: 22,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,510.90 : 40,725.06 = 16,082.16 : x
  2. Step 2: Convert to fraction form
    29,510.90/40,725.06 = 16,082.16/x
  3. Step 3: Cross multiply
    29,510.90x = 40,725.06 × 16,082.16
  4. Step 4: Simplify right side
    29,510.90x = 654,946,946.98
  5. Step 5: Solve for x
    x = 654,946,946.98/29,510.90
  6. Step 6: Final answer
    x = 22,193.39

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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.