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Finding the Fourth Proportional to 30,852.54, 42,576.60 and 16,705.32

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Solution

The fourth proportional to 30,852.54, 42,576.60 and 16,705.32 is: 23,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.54 : 42,576.60 = 16,705.32 : x
  2. Step 2: Convert to fraction form
    30,852.54/42,576.60 = 16,705.32/x
  3. Step 3: Cross multiply
    30,852.54x = 42,576.60 × 16,705.32
  4. Step 4: Simplify right side
    30,852.54x = 711,255,727.51
  5. Step 5: Solve for x
    x = 711,255,727.51/30,852.54
  6. Step 6: Final answer
    x = 23,053.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.