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Finding the Fourth Proportional to 30,893.41, 42,632.86 and 16,746.25

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Solution

The fourth proportional to 30,893.41, 42,632.86 and 16,746.25 is: 23,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.41 : 42,632.86 = 16,746.25 : x
  2. Step 2: Convert to fraction form
    30,893.41/42,632.86 = 16,746.25/x
  3. Step 3: Cross multiply
    30,893.41x = 42,632.86 × 16,746.25
  4. Step 4: Simplify right side
    30,893.41x = 713,940,531.78
  5. Step 5: Solve for x
    x = 713,940,531.78/30,893.41
  6. Step 6: Final answer
    x = 23,109.80

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1.5x scale

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.