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Finding the Fourth Proportional to 103,574.19, 155,361.31 and 32,507.80

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Solution

The fourth proportional to 103,574.19, 155,361.31 and 32,507.80 is: 48,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,574.19 : 155,361.31 = 32,507.80 : x
  2. Step 2: Convert to fraction form
    103,574.19/155,361.31 = 32,507.80/x
  3. Step 3: Cross multiply
    103,574.19x = 155,361.31 × 32,507.80
  4. Step 4: Simplify right side
    103,574.19x = 5,050,453,923.55
  5. Step 5: Solve for x
    x = 5,050,453,923.55/103,574.19
  6. Step 6: Final answer
    x = 48,761.70

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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.