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Finding the Fourth Proportional to 97,955.84, 146,933.72 and 45,336.62

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Solution

The fourth proportional to 97,955.84, 146,933.72 and 45,336.62 is: 68,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,955.84 : 146,933.72 = 45,336.62 : x
  2. Step 2: Convert to fraction form
    97,955.84/146,933.72 = 45,336.62/x
  3. Step 3: Cross multiply
    97,955.84x = 146,933.72 × 45,336.62
  4. Step 4: Simplify right side
    97,955.84x = 6,661,478,228.83
  5. Step 5: Solve for x
    x = 6,661,478,228.83/97,955.84
  6. Step 6: Final answer
    x = 68,004.91

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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.