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Finding the Fourth Proportional to 98,516.25, 135,952.43 and 53,804.25

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Solution

The fourth proportional to 98,516.25, 135,952.43 and 53,804.25 is: 74,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,516.25 : 135,952.43 = 53,804.25 : x
  2. Step 2: Convert to fraction form
    98,516.25/135,952.43 = 53,804.25/x
  3. Step 3: Cross multiply
    98,516.25x = 135,952.43 × 53,804.25
  4. Step 4: Simplify right side
    98,516.25x = 7,314,818,262.81
  5. Step 5: Solve for x
    x = 7,314,818,262.81/98,516.25
  6. Step 6: Final answer
    x = 74,249.87

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1.5x scale

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.