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Finding the Fourth Proportional to 101,693.53, 152,483.11 and 41,705.48

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Solution

The fourth proportional to 101,693.53, 152,483.11 and 41,705.48 is: 62,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,693.53 : 152,483.11 = 41,705.48 : x
  2. Step 2: Convert to fraction form
    101,693.53/152,483.11 = 41,705.48/x
  3. Step 3: Cross multiply
    101,693.53x = 152,483.11 × 41,705.48
  4. Step 4: Simplify right side
    101,693.53x = 6,359,381,571.39
  5. Step 5: Solve for x
    x = 6,359,381,571.39/101,693.53
  6. Step 6: Final answer
    x = 62,534.77

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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.