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Finding the Fourth Proportional to 30,802.14, 46,202.81 and 7,428.39

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Solution

The fourth proportional to 30,802.14, 46,202.81 and 7,428.39 is: 11,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.14 : 46,202.81 = 7,428.39 : x
  2. Step 2: Convert to fraction form
    30,802.14/46,202.81 = 7,428.39/x
  3. Step 3: Cross multiply
    30,802.14x = 46,202.81 × 7,428.39
  4. Step 4: Simplify right side
    30,802.14x = 343,212,454.63
  5. Step 5: Solve for x
    x = 343,212,454.63/30,802.14
  6. Step 6: Final answer
    x = 11,142.49

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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.