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Finding the Fourth Proportional to 75,539.79, 104,253.08 and 47,254.59

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Solution

The fourth proportional to 75,539.79, 104,253.08 and 47,254.59 is: 65,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,539.79 : 104,253.08 = 47,254.59 : x
  2. Step 2: Convert to fraction form
    75,539.79/104,253.08 = 47,254.59/x
  3. Step 3: Cross multiply
    75,539.79x = 104,253.08 × 47,254.59
  4. Step 4: Simplify right side
    75,539.79x = 4,926,436,315.36
  5. Step 5: Solve for x
    x = 4,926,436,315.36/75,539.79
  6. Step 6: Final answer
    x = 65,216.44

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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.