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Finding the Fourth Proportional to 97,527, 146,310.54 and 44,193.36

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Solution

The fourth proportional to 97,527, 146,310.54 and 44,193.36 is: 66,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,527 : 146,310.54 = 44,193.36 : x
  2. Step 2: Convert to fraction form
    97,527/146,310.54 = 44,193.36/x
  3. Step 3: Cross multiply
    97,527x = 146,310.54 × 44,193.36
  4. Step 4: Simplify right side
    97,527x = 6,465,954,366.01
  5. Step 5: Solve for x
    x = 6,465,954,366.01/97,527
  6. Step 6: Final answer
    x = 66,299.12

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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.