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Finding the Fourth Proportional to 64,801, 97,201.50 and 15,553

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Solution

The fourth proportional to 64,801, 97,201.50 and 15,553 is: 23,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,801 : 97,201.50 = 15,553 : x
  2. Step 2: Convert to fraction form
    64,801/97,201.50 = 15,553/x
  3. Step 3: Cross multiply
    64,801x = 97,201.50 × 15,553
  4. Step 4: Simplify right side
    64,801x = 1,511,774,929.50
  5. Step 5: Solve for x
    x = 1,511,774,929.50/64,801
  6. Step 6: Final answer
    x = 23,329.50

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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.