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Finding the Fourth Proportional to 30,985.96, 42,760.86 and 16,838.86

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Solution

The fourth proportional to 30,985.96, 42,760.86 and 16,838.86 is: 23,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985.96 : 42,760.86 = 16,838.86 : x
  2. Step 2: Convert to fraction form
    30,985.96/42,760.86 = 16,838.86/x
  3. Step 3: Cross multiply
    30,985.96x = 42,760.86 × 16,838.86
  4. Step 4: Simplify right side
    30,985.96x = 720,044,135.02
  5. Step 5: Solve for x
    x = 720,044,135.02/30,985.96
  6. Step 6: Final answer
    x = 23,237.75

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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.