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Finding the Fourth Proportional to 77,506.92, 116,271.99 and 33,133.50

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Solution

The fourth proportional to 77,506.92, 116,271.99 and 33,133.50 is: 49,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,506.92 : 116,271.99 = 33,133.50 : x
  2. Step 2: Convert to fraction form
    77,506.92/116,271.99 = 33,133.50/x
  3. Step 3: Cross multiply
    77,506.92x = 116,271.99 × 33,133.50
  4. Step 4: Simplify right side
    77,506.92x = 3,852,497,980.67
  5. Step 5: Solve for x
    x = 3,852,497,980.67/77,506.92
  6. Step 6: Final answer
    x = 49,705.21

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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.