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Finding the Fourth Proportional to 82,006.70, 122,973.60 and 32,070.20

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Solution

The fourth proportional to 82,006.70, 122,973.60 and 32,070.20 is: 48,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,006.70 : 122,973.60 = 32,070.20 : x
  2. Step 2: Convert to fraction form
    82,006.70/122,973.60 = 32,070.20/x
  3. Step 3: Cross multiply
    82,006.70x = 122,973.60 × 32,070.20
  4. Step 4: Simplify right side
    82,006.70x = 3,943,787,946.72
  5. Step 5: Solve for x
    x = 3,943,787,946.72/82,006.70
  6. Step 6: Final answer
    x = 48,091.05

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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.