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Finding the Fourth Proportional to 34,448.58, 51,671.70 and 9,824.58

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Solution

The fourth proportional to 34,448.58, 51,671.70 and 9,824.58 is: 14,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,448.58 : 51,671.70 = 9,824.58 : x
  2. Step 2: Convert to fraction form
    34,448.58/51,671.70 = 9,824.58/x
  3. Step 3: Cross multiply
    34,448.58x = 51,671.70 × 9,824.58
  4. Step 4: Simplify right side
    34,448.58x = 507,652,750.39
  5. Step 5: Solve for x
    x = 507,652,750.39/34,448.58
  6. Step 6: Final answer
    x = 14,736.54

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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.