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Finding the Fourth Proportional to 100,636, 150,959.13 and 25,756.77

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Solution

The fourth proportional to 100,636, 150,959.13 and 25,756.77 is: 38,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,636 : 150,959.13 = 25,756.77 : x
  2. Step 2: Convert to fraction form
    100,636/150,959.13 = 25,756.77/x
  3. Step 3: Cross multiply
    100,636x = 150,959.13 × 25,756.77
  4. Step 4: Simplify right side
    100,636x = 3,888,219,590.81
  5. Step 5: Solve for x
    x = 3,888,219,590.81/100,636
  6. Step 6: Final answer
    x = 38,636.47

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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.