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Finding the Fourth Proportional to 75,412.49, 112,946.47 and 35,997.28

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Solution

The fourth proportional to 75,412.49, 112,946.47 and 35,997.28 is: 53,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,412.49 : 112,946.47 = 35,997.28 : x
  2. Step 2: Convert to fraction form
    75,412.49/112,946.47 = 35,997.28/x
  3. Step 3: Cross multiply
    75,412.49x = 112,946.47 × 35,997.28
  4. Step 4: Simplify right side
    75,412.49x = 4,065,765,333.24
  5. Step 5: Solve for x
    x = 4,065,765,333.24/75,412.49
  6. Step 6: Final answer
    x = 53,913.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.