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Finding the Fourth Proportional to 35,649.44, 53,483.52 and 12,277.52

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Solution

The fourth proportional to 35,649.44, 53,483.52 and 12,277.52 is: 18,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,649.44 : 53,483.52 = 12,277.52 : x
  2. Step 2: Convert to fraction form
    35,649.44/53,483.52 = 12,277.52/x
  3. Step 3: Cross multiply
    35,649.44x = 53,483.52 × 12,277.52
  4. Step 4: Simplify right side
    35,649.44x = 656,644,986.47
  5. Step 5: Solve for x
    x = 656,644,986.47/35,649.44
  6. Step 6: Final answer
    x = 18,419.50

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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.