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Finding the Fourth Proportional to 75,483.74, 113,205.36 and 35,962.22

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Solution

The fourth proportional to 75,483.74, 113,205.36 and 35,962.22 is: 53,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,483.74 : 113,205.36 = 35,962.22 : x
  2. Step 2: Convert to fraction form
    75,483.74/113,205.36 = 35,962.22/x
  3. Step 3: Cross multiply
    75,483.74x = 113,205.36 × 35,962.22
  4. Step 4: Simplify right side
    75,483.74x = 4,071,116,061.50
  5. Step 5: Solve for x
    x = 4,071,116,061.50/75,483.74
  6. Step 6: Final answer
    x = 53,933.68

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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.