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Finding the Fourth Proportional to 37,798, 56,699.40 and 11,504.68

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Solution

The fourth proportional to 37,798, 56,699.40 and 11,504.68 is: 17,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,798 : 56,699.40 = 11,504.68 : x
  2. Step 2: Convert to fraction form
    37,798/56,699.40 = 11,504.68/x
  3. Step 3: Cross multiply
    37,798x = 56,699.40 × 11,504.68
  4. Step 4: Simplify right side
    37,798x = 652,308,453.19
  5. Step 5: Solve for x
    x = 652,308,453.19/37,798
  6. Step 6: Final answer
    x = 17,257.75

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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.