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Finding the Fourth Proportional to 77,057.16, 106,333.74 and 43,521

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Solution

The fourth proportional to 77,057.16, 106,333.74 and 43,521 is: 60,056.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,057.16 : 106,333.74 = 43,521 : x
  2. Step 2: Convert to fraction form
    77,057.16/106,333.74 = 43,521/x
  3. Step 3: Cross multiply
    77,057.16x = 106,333.74 × 43,521
  4. Step 4: Simplify right side
    77,057.16x = 4,627,750,698.54
  5. Step 5: Solve for x
    x = 4,627,750,698.54/77,057.16
  6. Step 6: Final answer
    x = 60,056.08

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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.