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Finding the Fourth Proportional to 43,654.40, 65,384.40 and 37,822.40

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Solution

The fourth proportional to 43,654.40, 65,384.40 and 37,822.40 is: 56,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,654.40 : 65,384.40 = 37,822.40 : x
  2. Step 2: Convert to fraction form
    43,654.40/65,384.40 = 37,822.40/x
  3. Step 3: Cross multiply
    43,654.40x = 65,384.40 × 37,822.40
  4. Step 4: Simplify right side
    43,654.40x = 2,472,994,930.56
  5. Step 5: Solve for x
    x = 2,472,994,930.56/43,654.40
  6. Step 6: Final answer
    x = 56,649.39

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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.