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Finding the Fourth Proportional to 29,566.89, 40,802.03 and 16,138.23

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Solution

The fourth proportional to 29,566.89, 40,802.03 and 16,138.23 is: 22,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,566.89 : 40,802.03 = 16,138.23 : x
  2. Step 2: Convert to fraction form
    29,566.89/40,802.03 = 16,138.23/x
  3. Step 3: Cross multiply
    29,566.89x = 40,802.03 × 16,138.23
  4. Step 4: Simplify right side
    29,566.89x = 658,472,463.92
  5. Step 5: Solve for x
    x = 658,472,463.92/29,566.89
  6. Step 6: Final answer
    x = 22,270.60

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1.5x scale

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.