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Finding the Fourth Proportional to 104,971.05, 157,409.19 and 30,074.05

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Solution

The fourth proportional to 104,971.05, 157,409.19 and 30,074.05 is: 45,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,971.05 : 157,409.19 = 30,074.05 : x
  2. Step 2: Convert to fraction form
    104,971.05/157,409.19 = 30,074.05/x
  3. Step 3: Cross multiply
    104,971.05x = 157,409.19 × 30,074.05
  4. Step 4: Simplify right side
    104,971.05x = 4,733,932,047.28
  5. Step 5: Solve for x
    x = 4,733,932,047.28/104,971.05
  6. Step 6: Final answer
    x = 45,097.50

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Why These Related Problems?

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