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Finding the Fourth Proportional to 30,893.79, 42,633.38 and 16,746.63

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Solution

The fourth proportional to 30,893.79, 42,633.38 and 16,746.63 is: 23,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.79 : 42,633.38 = 16,746.63 : x
  2. Step 2: Convert to fraction form
    30,893.79/42,633.38 = 16,746.63/x
  3. Step 3: Cross multiply
    30,893.79x = 42,633.38 × 16,746.63
  4. Step 4: Simplify right side
    30,893.79x = 713,965,440.51
  5. Step 5: Solve for x
    x = 713,965,440.51/30,893.79
  6. Step 6: Final answer
    x = 23,110.32

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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.