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Finding the Fourth Proportional to 30,689.44, 46,035.15 and 8,503.03

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Solution

The fourth proportional to 30,689.44, 46,035.15 and 8,503.03 is: 12,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689.44 : 46,035.15 = 8,503.03 : x
  2. Step 2: Convert to fraction form
    30,689.44/46,035.15 = 8,503.03/x
  3. Step 3: Cross multiply
    30,689.44x = 46,035.15 × 8,503.03
  4. Step 4: Simplify right side
    30,689.44x = 391,438,261.50
  5. Step 5: Solve for x
    x = 391,438,261.50/30,689.44
  6. Step 6: Final answer
    x = 12,754.82

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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.