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Finding the Fourth Proportional to 35,770.60, 53,415 and 29,209.60

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Solution

The fourth proportional to 35,770.60, 53,415 and 29,209.60 is: 43,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770.60 : 53,415 = 29,209.60 : x
  2. Step 2: Convert to fraction form
    35,770.60/53,415 = 29,209.60/x
  3. Step 3: Cross multiply
    35,770.60x = 53,415 × 29,209.60
  4. Step 4: Simplify right side
    35,770.60x = 1,560,230,784
  5. Step 5: Solve for x
    x = 1,560,230,784/35,770.60
  6. Step 6: Final answer
    x = 43,617.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.