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Finding the Fourth Proportional to 164,384.69, 246,579.47 and 46,048.55

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Solution

The fourth proportional to 164,384.69, 246,579.47 and 46,048.55 is: 69,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,384.69 : 246,579.47 = 46,048.55 : x
  2. Step 2: Convert to fraction form
    164,384.69/246,579.47 = 46,048.55/x
  3. Step 3: Cross multiply
    164,384.69x = 246,579.47 × 46,048.55
  4. Step 4: Simplify right side
    164,384.69x = 11,354,627,408.84
  5. Step 5: Solve for x
    x = 11,354,627,408.84/164,384.69
  6. Step 6: Final answer
    x = 69,073.51

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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.