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Finding the Fourth Proportional to 46,852, 70,287.72 and 19,150

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Solution

The fourth proportional to 46,852, 70,287.72 and 19,150 is: 28,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,852 : 70,287.72 = 19,150 : x
  2. Step 2: Convert to fraction form
    46,852/70,287.72 = 19,150/x
  3. Step 3: Cross multiply
    46,852x = 70,287.72 × 19,150
  4. Step 4: Simplify right side
    46,852x = 1,346,009,838
  5. Step 5: Solve for x
    x = 1,346,009,838/46,852
  6. Step 6: Final answer
    x = 28,728.97

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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.