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Finding the Fourth Proportional to 77,034.84, 106,297.41 and 43,039.05

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Solution

The fourth proportional to 77,034.84, 106,297.41 and 43,039.05 is: 59,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,034.84 : 106,297.41 = 43,039.05 : x
  2. Step 2: Convert to fraction form
    77,034.84/106,297.41 = 43,039.05/x
  3. Step 3: Cross multiply
    77,034.84x = 106,297.41 × 43,039.05
  4. Step 4: Simplify right side
    77,034.84x = 4,574,939,543.86
  5. Step 5: Solve for x
    x = 4,574,939,543.86/77,034.84
  6. Step 6: Final answer
    x = 59,387.93

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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.