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Finding the Fourth Proportional to 35,397.88, 53,105.03 and 12,024.34

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Solution

The fourth proportional to 35,397.88, 53,105.03 and 12,024.34 is: 18,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,397.88 : 53,105.03 = 12,024.34 : x
  2. Step 2: Convert to fraction form
    35,397.88/53,105.03 = 12,024.34/x
  3. Step 3: Cross multiply
    35,397.88x = 53,105.03 × 12,024.34
  4. Step 4: Simplify right side
    35,397.88x = 638,552,610.78
  5. Step 5: Solve for x
    x = 638,552,610.78/35,397.88
  6. Step 6: Final answer
    x = 18,039.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.