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Finding the Fourth Proportional to 73,929.98, 102,024.36 and 42,099.01

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Solution

The fourth proportional to 73,929.98, 102,024.36 and 42,099.01 is: 58,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,929.98 : 102,024.36 = 42,099.01 : x
  2. Step 2: Convert to fraction form
    73,929.98/102,024.36 = 42,099.01/x
  3. Step 3: Cross multiply
    73,929.98x = 102,024.36 × 42,099.01
  4. Step 4: Simplify right side
    73,929.98x = 4,295,124,296.82
  5. Step 5: Solve for x
    x = 4,295,124,296.82/73,929.98
  6. Step 6: Final answer
    x = 58,097.19

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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.