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Finding the Fourth Proportional to 131,312, 196,968.24 and 32,816

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Solution

The fourth proportional to 131,312, 196,968.24 and 32,816 is: 49,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,312 : 196,968.24 = 32,816 : x
  2. Step 2: Convert to fraction form
    131,312/196,968.24 = 32,816/x
  3. Step 3: Cross multiply
    131,312x = 196,968.24 × 32,816
  4. Step 4: Simplify right side
    131,312x = 6,463,709,763.84
  5. Step 5: Solve for x
    x = 6,463,709,763.84/131,312
  6. Step 6: Final answer
    x = 49,224.06

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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.