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Finding the Fourth Proportional to 30,584.88, 45,825.48 and 24,364.08

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Solution

The fourth proportional to 30,584.88, 45,825.48 and 24,364.08 is: 36,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.88 : 45,825.48 = 24,364.08 : x
  2. Step 2: Convert to fraction form
    30,584.88/45,825.48 = 24,364.08/x
  3. Step 3: Cross multiply
    30,584.88x = 45,825.48 × 24,364.08
  4. Step 4: Simplify right side
    30,584.88x = 1,116,495,660.76
  5. Step 5: Solve for x
    x = 1,116,495,660.76/30,584.88
  6. Step 6: Final answer
    x = 36,504.82

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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.