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Finding the Fourth Proportional to 66,503.49, 99,699.09 and 30,946.42

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Solution

The fourth proportional to 66,503.49, 99,699.09 and 30,946.42 is: 46,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,503.49 : 99,699.09 = 30,946.42 : x
  2. Step 2: Convert to fraction form
    66,503.49/99,699.09 = 30,946.42/x
  3. Step 3: Cross multiply
    66,503.49x = 99,699.09 × 30,946.42
  4. Step 4: Simplify right side
    66,503.49x = 3,085,329,912.76
  5. Step 5: Solve for x
    x = 3,085,329,912.76/66,503.49
  6. Step 6: Final answer
    x = 46,393.50

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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.