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Finding the Fourth Proportional to 75,461.98, 104,138.15 and 47,184.06

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Solution

The fourth proportional to 75,461.98, 104,138.15 and 47,184.06 is: 65,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,461.98 : 104,138.15 = 47,184.06 : x
  2. Step 2: Convert to fraction form
    75,461.98/104,138.15 = 47,184.06/x
  3. Step 3: Cross multiply
    75,461.98x = 104,138.15 × 47,184.06
  4. Step 4: Simplify right side
    75,461.98x = 4,913,660,717.89
  5. Step 5: Solve for x
    x = 4,913,660,717.89/75,461.98
  6. Step 6: Final answer
    x = 65,114.39

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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.