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Finding the Fourth Proportional to 98,535, 135,978.48 and 53,823

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Solution

The fourth proportional to 98,535, 135,978.48 and 53,823 is: 74,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,535 : 135,978.48 = 53,823 : x
  2. Step 2: Convert to fraction form
    98,535/135,978.48 = 53,823/x
  3. Step 3: Cross multiply
    98,535x = 135,978.48 × 53,823
  4. Step 4: Simplify right side
    98,535x = 7,318,769,729.04
  5. Step 5: Solve for x
    x = 7,318,769,729.04/98,535
  6. Step 6: Final answer
    x = 74,275.84

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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.