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Finding the Fourth Proportional to 30,892.56, 46,338.56 and 7,519.04

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Solution

The fourth proportional to 30,892.56, 46,338.56 and 7,519.04 is: 11,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.56 : 46,338.56 = 7,519.04 : x
  2. Step 2: Convert to fraction form
    30,892.56/46,338.56 = 7,519.04/x
  3. Step 3: Cross multiply
    30,892.56x = 46,338.56 × 7,519.04
  4. Step 4: Simplify right side
    30,892.56x = 348,421,486.18
  5. Step 5: Solve for x
    x = 348,421,486.18/30,892.56
  6. Step 6: Final answer
    x = 11,278.49

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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.