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Finding the Fourth Proportional to 32,537.70, 48,698.55 and 23,627.70

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Solution

The fourth proportional to 32,537.70, 48,698.55 and 23,627.70 is: 35,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,537.70 : 48,698.55 = 23,627.70 : x
  2. Step 2: Convert to fraction form
    32,537.70/48,698.55 = 23,627.70/x
  3. Step 3: Cross multiply
    32,537.70x = 48,698.55 × 23,627.70
  4. Step 4: Simplify right side
    32,537.70x = 1,150,634,729.84
  5. Step 5: Solve for x
    x = 1,150,634,729.84/32,537.70
  6. Step 6: Final answer
    x = 35,363.12

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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.