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Finding the Fourth Proportional to 75,998, 104,877.24 and 42,464

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Solution

The fourth proportional to 75,998, 104,877.24 and 42,464 is: 58,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,998 : 104,877.24 = 42,464 : x
  2. Step 2: Convert to fraction form
    75,998/104,877.24 = 42,464/x
  3. Step 3: Cross multiply
    75,998x = 104,877.24 × 42,464
  4. Step 4: Simplify right side
    75,998x = 4,453,507,119.36
  5. Step 5: Solve for x
    x = 4,453,507,119.36/75,998
  6. Step 6: Final answer
    x = 58,600.32

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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.