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Finding the Fourth Proportional to 30,304.53, 45,477.54 and 10,583.10

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Solution

The fourth proportional to 30,304.53, 45,477.54 and 10,583.10 is: 15,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,304.53 : 45,477.54 = 10,583.10 : x
  2. Step 2: Convert to fraction form
    30,304.53/45,477.54 = 10,583.10/x
  3. Step 3: Cross multiply
    30,304.53x = 45,477.54 × 10,583.10
  4. Step 4: Simplify right side
    30,304.53x = 481,293,353.57
  5. Step 5: Solve for x
    x = 481,293,353.57/30,304.53
  6. Step 6: Final answer
    x = 15,881.89

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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.