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Finding the Fourth Proportional to 30,875.80, 42,608.64 and 16,728.64

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Solution

The fourth proportional to 30,875.80, 42,608.64 and 16,728.64 is: 23,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.80 : 42,608.64 = 16,728.64 : x
  2. Step 2: Convert to fraction form
    30,875.80/42,608.64 = 16,728.64/x
  3. Step 3: Cross multiply
    30,875.80x = 42,608.64 × 16,728.64
  4. Step 4: Simplify right side
    30,875.80x = 712,784,599.45
  5. Step 5: Solve for x
    x = 712,784,599.45/30,875.80
  6. Step 6: Final answer
    x = 23,085.54

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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.