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Finding the Fourth Proportional to 74,998.40, 112,481.40 and 32,878.40

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Solution

The fourth proportional to 74,998.40, 112,481.40 and 32,878.40 is: 49,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,998.40 : 112,481.40 = 32,878.40 : x
  2. Step 2: Convert to fraction form
    74,998.40/112,481.40 = 32,878.40/x
  3. Step 3: Cross multiply
    74,998.40x = 112,481.40 × 32,878.40
  4. Step 4: Simplify right side
    74,998.40x = 3,698,208,461.76
  5. Step 5: Solve for x
    x = 3,698,208,461.76/74,998.40
  6. Step 6: Final answer
    x = 49,310.50

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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.