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Finding the Fourth Proportional to 73,802.88, 110,705.04 and 21,214.08

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Solution

The fourth proportional to 73,802.88, 110,705.04 and 21,214.08 is: 31,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,802.88 : 110,705.04 = 21,214.08 : x
  2. Step 2: Convert to fraction form
    73,802.88/110,705.04 = 21,214.08/x
  3. Step 3: Cross multiply
    73,802.88x = 110,705.04 × 21,214.08
  4. Step 4: Simplify right side
    73,802.88x = 2,348,505,574.96
  5. Step 5: Solve for x
    x = 2,348,505,574.96/73,802.88
  6. Step 6: Final answer
    x = 31,821.33

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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.