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Finding the Fourth Proportional to 35,614.77, 53,434.44 and 13,434.50

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Solution

The fourth proportional to 35,614.77, 53,434.44 and 13,434.50 is: 20,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,614.77 : 53,434.44 = 13,434.50 : x
  2. Step 2: Convert to fraction form
    35,614.77/53,434.44 = 13,434.50/x
  3. Step 3: Cross multiply
    35,614.77x = 53,434.44 × 13,434.50
  4. Step 4: Simplify right side
    35,614.77x = 717,864,717.01
  5. Step 5: Solve for x
    x = 717,864,717.01/35,614.77
  6. Step 6: Final answer
    x = 20,156.38

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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.