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Finding the Fourth Proportional to 30,495.80, 42,090.76 and 18,563

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Solution

The fourth proportional to 30,495.80, 42,090.76 and 18,563 is: 25,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,495.80 : 42,090.76 = 18,563 : x
  2. Step 2: Convert to fraction form
    30,495.80/42,090.76 = 18,563/x
  3. Step 3: Cross multiply
    30,495.80x = 42,090.76 × 18,563
  4. Step 4: Simplify right side
    30,495.80x = 781,330,777.88
  5. Step 5: Solve for x
    x = 781,330,777.88/30,495.80
  6. Step 6: Final answer
    x = 25,620.93

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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.