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Finding the Fourth Proportional to 96,477.82, 144,805.79 and 49,127.11

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Solution

The fourth proportional to 96,477.82, 144,805.79 and 49,127.11 is: 73,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,477.82 : 144,805.79 = 49,127.11 : x
  2. Step 2: Convert to fraction form
    96,477.82/144,805.79 = 49,127.11/x
  3. Step 3: Cross multiply
    96,477.82x = 144,805.79 × 49,127.11
  4. Step 4: Simplify right side
    96,477.82x = 7,113,889,734.77
  5. Step 5: Solve for x
    x = 7,113,889,734.77/96,477.82
  6. Step 6: Final answer
    x = 73,736.01

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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.