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Finding the Fourth Proportional to 102,553.50, 153,903.15 and 40,224

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Solution

The fourth proportional to 102,553.50, 153,903.15 and 40,224 is: 60,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,553.50 : 153,903.15 = 40,224 : x
  2. Step 2: Convert to fraction form
    102,553.50/153,903.15 = 40,224/x
  3. Step 3: Cross multiply
    102,553.50x = 153,903.15 × 40,224
  4. Step 4: Simplify right side
    102,553.50x = 6,190,600,305.60
  5. Step 5: Solve for x
    x = 6,190,600,305.60/102,553.50
  6. Step 6: Final answer
    x = 60,364.59

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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.