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Finding the Fourth Proportional to 30,881.56, 46,322.34 and 7,507.96

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Solution

The fourth proportional to 30,881.56, 46,322.34 and 7,507.96 is: 11,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.56 : 46,322.34 = 7,507.96 : x
  2. Step 2: Convert to fraction form
    30,881.56/46,322.34 = 7,507.96/x
  3. Step 3: Cross multiply
    30,881.56x = 46,322.34 × 7,507.96
  4. Step 4: Simplify right side
    30,881.56x = 347,786,275.83
  5. Step 5: Solve for x
    x = 347,786,275.83/30,881.56
  6. Step 6: Final answer
    x = 11,261.94

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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.