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Finding the Fourth Proportional to 38,192.49, 52,706.19 and 21,197.07

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Solution

The fourth proportional to 38,192.49, 52,706.19 and 21,197.07 is: 29,252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,192.49 : 52,706.19 = 21,197.07 : x
  2. Step 2: Convert to fraction form
    38,192.49/52,706.19 = 21,197.07/x
  3. Step 3: Cross multiply
    38,192.49x = 52,706.19 × 21,197.07
  4. Step 4: Simplify right side
    38,192.49x = 1,117,216,798.86
  5. Step 5: Solve for x
    x = 1,117,216,798.86/38,192.49
  6. Step 6: Final answer
    x = 29,252.26

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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.