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Finding the Fourth Proportional to 29,325.32, 40,469.46 and 15,897.02

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Solution

The fourth proportional to 29,325.32, 40,469.46 and 15,897.02 is: 21,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,325.32 : 40,469.46 = 15,897.02 : x
  2. Step 2: Convert to fraction form
    29,325.32/40,469.46 = 15,897.02/x
  3. Step 3: Cross multiply
    29,325.32x = 40,469.46 × 15,897.02
  4. Step 4: Simplify right side
    29,325.32x = 643,343,815.01
  5. Step 5: Solve for x
    x = 643,343,815.01/29,325.32
  6. Step 6: Final answer
    x = 21,938.17

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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.