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Finding the Fourth Proportional to 35,775.78, 53,664.69 and 9,480.54

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Solution

The fourth proportional to 35,775.78, 53,664.69 and 9,480.54 is: 14,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,775.78 : 53,664.69 = 9,480.54 : x
  2. Step 2: Convert to fraction form
    35,775.78/53,664.69 = 9,480.54/x
  3. Step 3: Cross multiply
    35,775.78x = 53,664.69 × 9,480.54
  4. Step 4: Simplify right side
    35,775.78x = 508,770,240.13
  5. Step 5: Solve for x
    x = 508,770,240.13/35,775.78
  6. Step 6: Final answer
    x = 14,221.08

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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.