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Finding the Fourth Proportional to 35,901.52, 53,853 and 9,606.22

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Solution

The fourth proportional to 35,901.52, 53,853 and 9,606.22 is: 14,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,901.52 : 53,853 = 9,606.22 : x
  2. Step 2: Convert to fraction form
    35,901.52/53,853 = 9,606.22/x
  3. Step 3: Cross multiply
    35,901.52x = 53,853 × 9,606.22
  4. Step 4: Simplify right side
    35,901.52x = 517,323,765.66
  5. Step 5: Solve for x
    x = 517,323,765.66/35,901.52
  6. Step 6: Final answer
    x = 14,409.52

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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.