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Finding the Fourth Proportional to 30,893.16, 42,632.52 and 16,746

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Solution

The fourth proportional to 30,893.16, 42,632.52 and 16,746 is: 23,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.16 : 42,632.52 = 16,746 : x
  2. Step 2: Convert to fraction form
    30,893.16/42,632.52 = 16,746/x
  3. Step 3: Cross multiply
    30,893.16x = 42,632.52 × 16,746
  4. Step 4: Simplify right side
    30,893.16x = 713,924,179.92
  5. Step 5: Solve for x
    x = 713,924,179.92/30,893.16
  6. Step 6: Final answer
    x = 23,109.46

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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.