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Finding the Fourth Proportional to 98,744.50, 136,267.50 and 54,032.50

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Solution

The fourth proportional to 98,744.50, 136,267.50 and 54,032.50 is: 74,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,744.50 : 136,267.50 = 54,032.50 : x
  2. Step 2: Convert to fraction form
    98,744.50/136,267.50 = 54,032.50/x
  3. Step 3: Cross multiply
    98,744.50x = 136,267.50 × 54,032.50
  4. Step 4: Simplify right side
    98,744.50x = 7,362,873,693.75
  5. Step 5: Solve for x
    x = 7,362,873,693.75/98,744.50
  6. Step 6: Final answer
    x = 74,564.90

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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.