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Finding the Fourth Proportional to 98,435.14, 135,828.30 and 55,409.38

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Solution

The fourth proportional to 98,435.14, 135,828.30 and 55,409.38 is: 76,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,435.14 : 135,828.30 = 55,409.38 : x
  2. Step 2: Convert to fraction form
    98,435.14/135,828.30 = 55,409.38/x
  3. Step 3: Cross multiply
    98,435.14x = 135,828.30 × 55,409.38
  4. Step 4: Simplify right side
    98,435.14x = 7,526,161,889.45
  5. Step 5: Solve for x
    x = 7,526,161,889.45/98,435.14
  6. Step 6: Final answer
    x = 76,458.08

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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.