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Finding the Fourth Proportional to 74,852.54, 112,254.50 and 24,919.22

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Solution

The fourth proportional to 74,852.54, 112,254.50 and 24,919.22 is: 37,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,852.54 : 112,254.50 = 24,919.22 : x
  2. Step 2: Convert to fraction form
    74,852.54/112,254.50 = 24,919.22/x
  3. Step 3: Cross multiply
    74,852.54x = 112,254.50 × 24,919.22
  4. Step 4: Simplify right side
    74,852.54x = 2,797,294,581.49
  5. Step 5: Solve for x
    x = 2,797,294,581.49/74,852.54
  6. Step 6: Final answer
    x = 37,370.74

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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.