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Finding the Fourth Proportional to 98,250.50, 135,585.70 and 53,538.50

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Solution

The fourth proportional to 98,250.50, 135,585.70 and 53,538.50 is: 73,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,250.50 : 135,585.70 = 53,538.50 : x
  2. Step 2: Convert to fraction form
    98,250.50/135,585.70 = 53,538.50/x
  3. Step 3: Cross multiply
    98,250.50x = 135,585.70 × 53,538.50
  4. Step 4: Simplify right side
    98,250.50x = 7,259,054,999.45
  5. Step 5: Solve for x
    x = 7,259,054,999.45/98,250.50
  6. Step 6: Final answer
    x = 73,883.14

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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.