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Finding the Fourth Proportional to 30,046, 41,463.48 and 18,109.52

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Solution

The fourth proportional to 30,046, 41,463.48 and 18,109.52 is: 24,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,046 : 41,463.48 = 18,109.52 : x
  2. Step 2: Convert to fraction form
    30,046/41,463.48 = 18,109.52/x
  3. Step 3: Cross multiply
    30,046x = 41,463.48 × 18,109.52
  4. Step 4: Simplify right side
    30,046x = 750,883,720.33
  5. Step 5: Solve for x
    x = 750,883,720.33/30,046
  6. Step 6: Final answer
    x = 24,991.14

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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.