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Finding the Fourth Proportional to 95,541.50, 143,312.25 and 33,212

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Solution

The fourth proportional to 95,541.50, 143,312.25 and 33,212 is: 49,818

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,541.50 : 143,312.25 = 33,212 : x
  2. Step 2: Convert to fraction form
    95,541.50/143,312.25 = 33,212/x
  3. Step 3: Cross multiply
    95,541.50x = 143,312.25 × 33,212
  4. Step 4: Simplify right side
    95,541.50x = 4,759,686,447
  5. Step 5: Solve for x
    x = 4,759,686,447/95,541.50
  6. Step 6: Final answer
    x = 49,818

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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.