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Finding the Fourth Proportional to 74,874.96, 112,328.64 and 22,288.68

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Solution

The fourth proportional to 74,874.96, 112,328.64 and 22,288.68 is: 33,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,874.96 : 112,328.64 = 22,288.68 : x
  2. Step 2: Convert to fraction form
    74,874.96/112,328.64 = 22,288.68/x
  3. Step 3: Cross multiply
    74,874.96x = 112,328.64 × 22,288.68
  4. Step 4: Simplify right side
    74,874.96x = 2,503,657,111.80
  5. Step 5: Solve for x
    x = 2,503,657,111.80/74,874.96
  6. Step 6: Final answer
    x = 33,437.84

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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.