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Finding the Fourth Proportional to 98,797.84, 136,341 and 53,475.81

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Solution

The fourth proportional to 98,797.84, 136,341 and 53,475.81 is: 73,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,797.84 : 136,341 = 53,475.81 : x
  2. Step 2: Convert to fraction form
    98,797.84/136,341 = 53,475.81/x
  3. Step 3: Cross multiply
    98,797.84x = 136,341 × 53,475.81
  4. Step 4: Simplify right side
    98,797.84x = 7,290,945,411.21
  5. Step 5: Solve for x
    x = 7,290,945,411.21/98,797.84
  6. Step 6: Final answer
    x = 73,796.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.