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Finding the Fourth Proportional to 110,028, 165,063.21 and 46,846.95

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Solution

The fourth proportional to 110,028, 165,063.21 and 46,846.95 is: 70,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,028 : 165,063.21 = 46,846.95 : x
  2. Step 2: Convert to fraction form
    110,028/165,063.21 = 46,846.95/x
  3. Step 3: Cross multiply
    110,028x = 165,063.21 × 46,846.95
  4. Step 4: Simplify right side
    110,028x = 7,732,707,945.71
  5. Step 5: Solve for x
    x = 7,732,707,945.71/110,028
  6. Step 6: Final answer
    x = 70,279.46

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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.