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Finding the Fourth Proportional to 102,091.45, 153,071.56 and 48,754.57

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Solution

The fourth proportional to 102,091.45, 153,071.56 and 48,754.57 is: 73,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,091.45 : 153,071.56 = 48,754.57 : x
  2. Step 2: Convert to fraction form
    102,091.45/153,071.56 = 48,754.57/x
  3. Step 3: Cross multiply
    102,091.45x = 153,071.56 × 48,754.57
  4. Step 4: Simplify right side
    102,091.45x = 7,462,938,087.03
  5. Step 5: Solve for x
    x = 7,462,938,087.03/102,091.45
  6. Step 6: Final answer
    x = 73,100.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.