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Finding the Fourth Proportional to 98,145.65, 135,441.01 and 53,433.65

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Solution

The fourth proportional to 98,145.65, 135,441.01 and 53,433.65 is: 73,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,145.65 : 135,441.01 = 53,433.65 : x
  2. Step 2: Convert to fraction form
    98,145.65/135,441.01 = 53,433.65/x
  3. Step 3: Cross multiply
    98,145.65x = 135,441.01 × 53,433.65
  4. Step 4: Simplify right side
    98,145.65x = 7,237,106,980.37
  5. Step 5: Solve for x
    x = 7,237,106,980.37/98,145.65
  6. Step 6: Final answer
    x = 73,738.44

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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.