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Finding the Fourth Proportional to 77,097.05, 106,394.66 and 45,266.48

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Solution

The fourth proportional to 77,097.05, 106,394.66 and 45,266.48 is: 62,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,097.05 : 106,394.66 = 45,266.48 : x
  2. Step 2: Convert to fraction form
    77,097.05/106,394.66 = 45,266.48/x
  3. Step 3: Cross multiply
    77,097.05x = 106,394.66 × 45,266.48
  4. Step 4: Simplify right side
    77,097.05x = 4,816,111,814.04
  5. Step 5: Solve for x
    x = 4,816,111,814.04/77,097.05
  6. Step 6: Final answer
    x = 62,468.17

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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.