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Finding the Fourth Proportional to 30,616.49, 45,942.29 and 11,894.12

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Solution

The fourth proportional to 30,616.49, 45,942.29 and 11,894.12 is: 17,848.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.49 : 45,942.29 = 11,894.12 : x
  2. Step 2: Convert to fraction form
    30,616.49/45,942.29 = 11,894.12/x
  3. Step 3: Cross multiply
    30,616.49x = 45,942.29 × 11,894.12
  4. Step 4: Simplify right side
    30,616.49x = 546,443,038.04
  5. Step 5: Solve for x
    x = 546,443,038.04/30,616.49
  6. Step 6: Final answer
    x = 17,848.00

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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.