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Finding the Fourth Proportional to 35,453.78, 53,180.70 and 10,829.78

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Solution

The fourth proportional to 35,453.78, 53,180.70 and 10,829.78 is: 16,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,453.78 : 53,180.70 = 10,829.78 : x
  2. Step 2: Convert to fraction form
    35,453.78/53,180.70 = 10,829.78/x
  3. Step 3: Cross multiply
    35,453.78x = 53,180.70 × 10,829.78
  4. Step 4: Simplify right side
    35,453.78x = 575,935,281.25
  5. Step 5: Solve for x
    x = 575,935,281.25/35,453.78
  6. Step 6: Final answer
    x = 16,244.68

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1.5x scale

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.