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Finding the Fourth Proportional to 75,883.84, 104,730.26 and 42,352

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Solution

The fourth proportional to 75,883.84, 104,730.26 and 42,352 is: 58,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,883.84 : 104,730.26 = 42,352 : x
  2. Step 2: Convert to fraction form
    75,883.84/104,730.26 = 42,352/x
  3. Step 3: Cross multiply
    75,883.84x = 104,730.26 × 42,352
  4. Step 4: Simplify right side
    75,883.84x = 4,435,535,971.52
  5. Step 5: Solve for x
    x = 4,435,535,971.52/75,883.84
  6. Step 6: Final answer
    x = 58,451.65

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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.