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Finding the Fourth Proportional to 77,392.01, 106,802.19 and 43,408.05

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Solution

The fourth proportional to 77,392.01, 106,802.19 and 43,408.05 is: 59,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,392.01 : 106,802.19 = 43,408.05 : x
  2. Step 2: Convert to fraction form
    77,392.01/106,802.19 = 43,408.05/x
  3. Step 3: Cross multiply
    77,392.01x = 106,802.19 × 43,408.05
  4. Step 4: Simplify right side
    77,392.01x = 4,636,074,803.63
  5. Step 5: Solve for x
    x = 4,636,074,803.63/77,392.01
  6. Step 6: Final answer
    x = 59,903.79

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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.