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Finding the Fourth Proportional to 75,968.70, 114,055.65 and 44,411.10

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Solution

The fourth proportional to 75,968.70, 114,055.65 and 44,411.10 is: 66,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,968.70 : 114,055.65 = 44,411.10 : x
  2. Step 2: Convert to fraction form
    75,968.70/114,055.65 = 44,411.10/x
  3. Step 3: Cross multiply
    75,968.70x = 114,055.65 × 44,411.10
  4. Step 4: Simplify right side
    75,968.70x = 5,065,336,877.72
  5. Step 5: Solve for x
    x = 5,065,336,877.72/75,968.70
  6. Step 6: Final answer
    x = 66,676.63

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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.