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Finding the Fourth Proportional to 30,881.88, 46,322.82 and 7,508.25

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Solution

The fourth proportional to 30,881.88, 46,322.82 and 7,508.25 is: 11,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.88 : 46,322.82 = 7,508.25 : x
  2. Step 2: Convert to fraction form
    30,881.88/46,322.82 = 7,508.25/x
  3. Step 3: Cross multiply
    30,881.88x = 46,322.82 × 7,508.25
  4. Step 4: Simplify right side
    30,881.88x = 347,803,313.27
  5. Step 5: Solve for x
    x = 347,803,313.27/30,881.88
  6. Step 6: Final answer
    x = 11,262.38

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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.