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Finding the Fourth Proportional to 35,649, 53,453.88 and 24,417.27

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Solution

The fourth proportional to 35,649, 53,453.88 and 24,417.27 is: 36,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,649 : 53,453.88 = 24,417.27 : x
  2. Step 2: Convert to fraction form
    35,649/53,453.88 = 24,417.27/x
  3. Step 3: Cross multiply
    35,649x = 53,453.88 × 24,417.27
  4. Step 4: Simplify right side
    35,649x = 1,305,197,820.51
  5. Step 5: Solve for x
    x = 1,305,197,820.51/35,649
  6. Step 6: Final answer
    x = 36,612.47

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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.