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Finding the Fourth Proportional to 35,507.41, 53,251.77 and 16,782.41

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Solution

The fourth proportional to 35,507.41, 53,251.77 and 16,782.41 is: 25,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,507.41 : 53,251.77 = 16,782.41 : x
  2. Step 2: Convert to fraction form
    35,507.41/53,251.77 = 16,782.41/x
  3. Step 3: Cross multiply
    35,507.41x = 53,251.77 × 16,782.41
  4. Step 4: Simplify right side
    35,507.41x = 893,693,037.37
  5. Step 5: Solve for x
    x = 893,693,037.37/35,507.41
  6. Step 6: Final answer
    x = 25,169.20

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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.