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Finding the Fourth Proportional to 33,004.74, 49,510.03 and 9,312.50

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Solution

The fourth proportional to 33,004.74, 49,510.03 and 9,312.50 is: 13,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,004.74 : 49,510.03 = 9,312.50 : x
  2. Step 2: Convert to fraction form
    33,004.74/49,510.03 = 9,312.50/x
  3. Step 3: Cross multiply
    33,004.74x = 49,510.03 × 9,312.50
  4. Step 4: Simplify right side
    33,004.74x = 461,061,860.26
  5. Step 5: Solve for x
    x = 461,061,860.26/33,004.74
  6. Step 6: Final answer
    x = 13,969.56

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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.