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Finding the Fourth Proportional to 75,883, 104,718.60 and 42,349

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Solution

The fourth proportional to 75,883, 104,718.60 and 42,349 is: 58,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,883 : 104,718.60 = 42,349 : x
  2. Step 2: Convert to fraction form
    75,883/104,718.60 = 42,349/x
  3. Step 3: Cross multiply
    75,883x = 104,718.60 × 42,349
  4. Step 4: Simplify right side
    75,883x = 4,434,727,991.40
  5. Step 5: Solve for x
    x = 4,434,727,991.40/75,883
  6. Step 6: Final answer
    x = 58,441.65

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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.