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Finding the Fourth Proportional to 57,798, 86,699.46 and 18,354.24

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Solution

The fourth proportional to 57,798, 86,699.46 and 18,354.24 is: 27,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,798 : 86,699.46 = 18,354.24 : x
  2. Step 2: Convert to fraction form
    57,798/86,699.46 = 18,354.24/x
  3. Step 3: Cross multiply
    57,798x = 86,699.46 × 18,354.24
  4. Step 4: Simplify right side
    57,798x = 1,591,302,696.71
  5. Step 5: Solve for x
    x = 1,591,302,696.71/57,798
  6. Step 6: Final answer
    x = 27,532.14

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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.