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Finding the Fourth Proportional to 64,069.19, 96,106.41 and 21,978.22

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Solution

The fourth proportional to 64,069.19, 96,106.41 and 21,978.22 is: 32,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,069.19 : 96,106.41 = 21,978.22 : x
  2. Step 2: Convert to fraction form
    64,069.19/96,106.41 = 21,978.22/x
  3. Step 3: Cross multiply
    64,069.19x = 96,106.41 × 21,978.22
  4. Step 4: Simplify right side
    64,069.19x = 2,112,247,822.39
  5. Step 5: Solve for x
    x = 2,112,247,822.39/64,069.19
  6. Step 6: Final answer
    x = 32,968.23

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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.