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Finding the Fourth Proportional to 98,518.50, 135,955.53 and 53,806.50

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Solution

The fourth proportional to 98,518.50, 135,955.53 and 53,806.50 is: 74,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,518.50 : 135,955.53 = 53,806.50 : x
  2. Step 2: Convert to fraction form
    98,518.50/135,955.53 = 53,806.50/x
  3. Step 3: Cross multiply
    98,518.50x = 135,955.53 × 53,806.50
  4. Step 4: Simplify right side
    98,518.50x = 7,315,291,224.95
  5. Step 5: Solve for x
    x = 7,315,291,224.95/98,518.50
  6. Step 6: Final answer
    x = 74,252.97

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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.