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Finding the Fourth Proportional to 30,182.40, 45,241.20 and 11,455.20

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Solution

The fourth proportional to 30,182.40, 45,241.20 and 11,455.20 is: 17,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182.40 : 45,241.20 = 11,455.20 : x
  2. Step 2: Convert to fraction form
    30,182.40/45,241.20 = 11,455.20/x
  3. Step 3: Cross multiply
    30,182.40x = 45,241.20 × 11,455.20
  4. Step 4: Simplify right side
    30,182.40x = 518,246,994.24
  5. Step 5: Solve for x
    x = 518,246,994.24/30,182.40
  6. Step 6: Final answer
    x = 17,170.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.