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Finding the Fourth Proportional to 73,140.51, 109,699.53 and 23,214.12

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Solution

The fourth proportional to 73,140.51, 109,699.53 and 23,214.12 is: 34,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,140.51 : 109,699.53 = 23,214.12 : x
  2. Step 2: Convert to fraction form
    73,140.51/109,699.53 = 23,214.12/x
  3. Step 3: Cross multiply
    73,140.51x = 109,699.53 × 23,214.12
  4. Step 4: Simplify right side
    73,140.51x = 2,546,578,053.36
  5. Step 5: Solve for x
    x = 2,546,578,053.36/73,140.51
  6. Step 6: Final answer
    x = 34,817.61

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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.