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Finding the Fourth Proportional to 77,467.50, 106,905.15 and 43,933.50

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Solution

The fourth proportional to 77,467.50, 106,905.15 and 43,933.50 is: 60,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,467.50 : 106,905.15 = 43,933.50 : x
  2. Step 2: Convert to fraction form
    77,467.50/106,905.15 = 43,933.50/x
  3. Step 3: Cross multiply
    77,467.50x = 106,905.15 × 43,933.50
  4. Step 4: Simplify right side
    77,467.50x = 4,696,717,407.53
  5. Step 5: Solve for x
    x = 4,696,717,407.53/77,467.50
  6. Step 6: Final answer
    x = 60,628.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.