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Finding the Fourth Proportional to 51,989.80, 77,984.70 and 49,802.80

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Solution

The fourth proportional to 51,989.80, 77,984.70 and 49,802.80 is: 74,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,989.80 : 77,984.70 = 49,802.80 : x
  2. Step 2: Convert to fraction form
    51,989.80/77,984.70 = 49,802.80/x
  3. Step 3: Cross multiply
    51,989.80x = 77,984.70 × 49,802.80
  4. Step 4: Simplify right side
    51,989.80x = 3,883,856,417.16
  5. Step 5: Solve for x
    x = 3,883,856,417.16/51,989.80
  6. Step 6: Final answer
    x = 74,704.20

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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.