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Finding the Fourth Proportional to 64,135.84, 96,234.48 and 22,602.40

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Solution

The fourth proportional to 64,135.84, 96,234.48 and 22,602.40 is: 33,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,135.84 : 96,234.48 = 22,602.40 : x
  2. Step 2: Convert to fraction form
    64,135.84/96,234.48 = 22,602.40/x
  3. Step 3: Cross multiply
    64,135.84x = 96,234.48 × 22,602.40
  4. Step 4: Simplify right side
    64,135.84x = 2,175,130,210.75
  5. Step 5: Solve for x
    x = 2,175,130,210.75/64,135.84
  6. Step 6: Final answer
    x = 33,914.43

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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.