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Finding the Fourth Proportional to 85,044.63, 127,582.39 and 35,097.50

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Solution

The fourth proportional to 85,044.63, 127,582.39 and 35,097.50 is: 52,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,044.63 : 127,582.39 = 35,097.50 : x
  2. Step 2: Convert to fraction form
    85,044.63/127,582.39 = 35,097.50/x
  3. Step 3: Cross multiply
    85,044.63x = 127,582.39 × 35,097.50
  4. Step 4: Simplify right side
    85,044.63x = 4,477,823,295.85
  5. Step 5: Solve for x
    x = 4,477,823,295.85/85,044.63
  6. Step 6: Final answer
    x = 52,652.63

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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.