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Finding the Fourth Proportional to 72,052, 108,078.48 and 22,804

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Solution

The fourth proportional to 72,052, 108,078.48 and 22,804 is: 34,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,052 : 108,078.48 = 22,804 : x
  2. Step 2: Convert to fraction form
    72,052/108,078.48 = 22,804/x
  3. Step 3: Cross multiply
    72,052x = 108,078.48 × 22,804
  4. Step 4: Simplify right side
    72,052x = 2,464,621,657.92
  5. Step 5: Solve for x
    x = 2,464,621,657.92/72,052
  6. Step 6: Final answer
    x = 34,206.15

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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.