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Finding the Fourth Proportional to 35,945.52, 53,909.02 and 14,891.46

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Solution

The fourth proportional to 35,945.52, 53,909.02 and 14,891.46 is: 22,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,945.52 : 53,909.02 = 14,891.46 : x
  2. Step 2: Convert to fraction form
    35,945.52/53,909.02 = 14,891.46/x
  3. Step 3: Cross multiply
    35,945.52x = 53,909.02 × 14,891.46
  4. Step 4: Simplify right side
    35,945.52x = 802,784,014.97
  5. Step 5: Solve for x
    x = 802,784,014.97/35,945.52
  6. Step 6: Final answer
    x = 22,333.35

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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.