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Finding the Fourth Proportional to 38,037.63, 57,056.40 and 14,647.68

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Solution

The fourth proportional to 38,037.63, 57,056.40 and 14,647.68 is: 21,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,037.63 : 57,056.40 = 14,647.68 : x
  2. Step 2: Convert to fraction form
    38,037.63/57,056.40 = 14,647.68/x
  3. Step 3: Cross multiply
    38,037.63x = 57,056.40 × 14,647.68
  4. Step 4: Simplify right side
    38,037.63x = 835,743,889.15
  5. Step 5: Solve for x
    x = 835,743,889.15/38,037.63
  6. Step 6: Final answer
    x = 21,971.50

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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.