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Finding the Fourth Proportional to 101,477.87, 152,173.94 and 30,410.62

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Solution

The fourth proportional to 101,477.87, 152,173.94 and 30,410.62 is: 45,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,477.87 : 152,173.94 = 30,410.62 : x
  2. Step 2: Convert to fraction form
    101,477.87/152,173.94 = 30,410.62/x
  3. Step 3: Cross multiply
    101,477.87x = 152,173.94 × 30,410.62
  4. Step 4: Simplify right side
    101,477.87x = 4,627,703,330.75
  5. Step 5: Solve for x
    x = 4,627,703,330.75/101,477.87
  6. Step 6: Final answer
    x = 45,603.08

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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.