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Finding the Fourth Proportional to 35,106.80, 52,649.40 and 10,149.20

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Solution

The fourth proportional to 35,106.80, 52,649.40 and 10,149.20 is: 15,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,106.80 : 52,649.40 = 10,149.20 : x
  2. Step 2: Convert to fraction form
    35,106.80/52,649.40 = 10,149.20/x
  3. Step 3: Cross multiply
    35,106.80x = 52,649.40 × 10,149.20
  4. Step 4: Simplify right side
    35,106.80x = 534,349,290.48
  5. Step 5: Solve for x
    x = 534,349,290.48/35,106.80
  6. Step 6: Final answer
    x = 15,220.68

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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.