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Finding the Fourth Proportional to 77,501, 116,252.58 and 22,097

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Solution

The fourth proportional to 77,501, 116,252.58 and 22,097 is: 33,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,501 : 116,252.58 = 22,097 : x
  2. Step 2: Convert to fraction form
    77,501/116,252.58 = 22,097/x
  3. Step 3: Cross multiply
    77,501x = 116,252.58 × 22,097
  4. Step 4: Simplify right side
    77,501x = 2,568,833,260.26
  5. Step 5: Solve for x
    x = 2,568,833,260.26/77,501
  6. Step 6: Final answer
    x = 33,145.81

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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.