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Finding the Fourth Proportional to 103,162.68, 154,746.12 and 33,041.76

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Solution

The fourth proportional to 103,162.68, 154,746.12 and 33,041.76 is: 49,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,162.68 : 154,746.12 = 33,041.76 : x
  2. Step 2: Convert to fraction form
    103,162.68/154,746.12 = 33,041.76/x
  3. Step 3: Cross multiply
    103,162.68x = 154,746.12 × 33,041.76
  4. Step 4: Simplify right side
    103,162.68x = 5,113,084,157.97
  5. Step 5: Solve for x
    x = 5,113,084,157.97/103,162.68
  6. Step 6: Final answer
    x = 49,563.31

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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.