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Finding the Fourth Proportional to 64,775.04, 97,152 and 18,017.28

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Solution

The fourth proportional to 64,775.04, 97,152 and 18,017.28 is: 27,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,775.04 : 97,152 = 18,017.28 : x
  2. Step 2: Convert to fraction form
    64,775.04/97,152 = 18,017.28/x
  3. Step 3: Cross multiply
    64,775.04x = 97,152 × 18,017.28
  4. Step 4: Simplify right side
    64,775.04x = 1,750,414,786.56
  5. Step 5: Solve for x
    x = 1,750,414,786.56/64,775.04
  6. Step 6: Final answer
    x = 27,022.98

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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.