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Finding the Fourth Proportional to 35,909.34, 53,863.24 and 9,614.08

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Solution

The fourth proportional to 35,909.34, 53,863.24 and 9,614.08 is: 14,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,909.34 : 53,863.24 = 9,614.08 : x
  2. Step 2: Convert to fraction form
    35,909.34/53,863.24 = 9,614.08/x
  3. Step 3: Cross multiply
    35,909.34x = 53,863.24 × 9,614.08
  4. Step 4: Simplify right side
    35,909.34x = 517,845,498.42
  5. Step 5: Solve for x
    x = 517,845,498.42/35,909.34
  6. Step 6: Final answer
    x = 14,420.91

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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.