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Finding the Fourth Proportional to 35,903.52, 53,856 and 9,608.22

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Solution

The fourth proportional to 35,903.52, 53,856 and 9,608.22 is: 14,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,903.52 : 53,856 = 9,608.22 : x
  2. Step 2: Convert to fraction form
    35,903.52/53,856 = 9,608.22/x
  3. Step 3: Cross multiply
    35,903.52x = 53,856 × 9,608.22
  4. Step 4: Simplify right side
    35,903.52x = 517,460,296.32
  5. Step 5: Solve for x
    x = 517,460,296.32/35,903.52
  6. Step 6: Final answer
    x = 14,412.52

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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.