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Finding the Fourth Proportional to 78,053.50, 117,076.11 and 21,897.51

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Solution

The fourth proportional to 78,053.50, 117,076.11 and 21,897.51 is: 32,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,053.50 : 117,076.11 = 21,897.51 : x
  2. Step 2: Convert to fraction form
    78,053.50/117,076.11 = 21,897.51/x
  3. Step 3: Cross multiply
    78,053.50x = 117,076.11 × 21,897.51
  4. Step 4: Simplify right side
    78,053.50x = 2,563,675,289.49
  5. Step 5: Solve for x
    x = 2,563,675,289.49/78,053.50
  6. Step 6: Final answer
    x = 32,845.10

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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.