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Finding the Fourth Proportional to 51,483.48, 77,215.70 and 18,203.82

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Solution

The fourth proportional to 51,483.48, 77,215.70 and 18,203.82 is: 27,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,483.48 : 77,215.70 = 18,203.82 : x
  2. Step 2: Convert to fraction form
    51,483.48/77,215.70 = 18,203.82/x
  3. Step 3: Cross multiply
    51,483.48x = 77,215.70 × 18,203.82
  4. Step 4: Simplify right side
    51,483.48x = 1,405,620,612.95
  5. Step 5: Solve for x
    x = 1,405,620,612.95/51,483.48
  6. Step 6: Final answer
    x = 27,302.36

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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.