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Finding the Fourth Proportional to 82,190, 113,423.02 and 44,465.06

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Solution

The fourth proportional to 82,190, 113,423.02 and 44,465.06 is: 61,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,190 : 113,423.02 = 44,465.06 : x
  2. Step 2: Convert to fraction form
    82,190/113,423.02 = 44,465.06/x
  3. Step 3: Cross multiply
    82,190x = 113,423.02 × 44,465.06
  4. Step 4: Simplify right side
    82,190x = 5,043,361,389.68
  5. Step 5: Solve for x
    x = 5,043,361,389.68/82,190
  6. Step 6: Final answer
    x = 61,362.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.