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Finding the Fourth Proportional to 55,256.90, 82,897.16 and 17,819.10

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Solution

The fourth proportional to 55,256.90, 82,897.16 and 17,819.10 is: 26,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,256.90 : 82,897.16 = 17,819.10 : x
  2. Step 2: Convert to fraction form
    55,256.90/82,897.16 = 17,819.10/x
  3. Step 3: Cross multiply
    55,256.90x = 82,897.16 × 17,819.10
  4. Step 4: Simplify right side
    55,256.90x = 1,477,152,694.66
  5. Step 5: Solve for x
    x = 1,477,152,694.66/55,256.90
  6. Step 6: Final answer
    x = 26,732.46

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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.