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Finding the Fourth Proportional to 64,817.50, 97,223 and 25,381.84

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Solution

The fourth proportional to 64,817.50, 97,223 and 25,381.84 is: 38,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,817.50 : 97,223 = 25,381.84 : x
  2. Step 2: Convert to fraction form
    64,817.50/97,223 = 25,381.84/x
  3. Step 3: Cross multiply
    64,817.50x = 97,223 × 25,381.84
  4. Step 4: Simplify right side
    64,817.50x = 2,467,698,630.32
  5. Step 5: Solve for x
    x = 2,467,698,630.32/64,817.50
  6. Step 6: Final answer
    x = 38,071.49

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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.