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Finding the Fourth Proportional to 65,868.34, 98,802.34 and 50,897.22

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Solution

The fourth proportional to 65,868.34, 98,802.34 and 50,897.22 is: 76,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,868.34 : 98,802.34 = 50,897.22 : x
  2. Step 2: Convert to fraction form
    65,868.34/98,802.34 = 50,897.22/x
  3. Step 3: Cross multiply
    65,868.34x = 98,802.34 × 50,897.22
  4. Step 4: Simplify right side
    65,868.34x = 5,028,764,435.49
  5. Step 5: Solve for x
    x = 5,028,764,435.49/65,868.34
  6. Step 6: Final answer
    x = 76,345.70

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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.