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Finding the Fourth Proportional to 30,741.59, 42,422.67 and 17,312.90

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Solution

The fourth proportional to 30,741.59, 42,422.67 and 17,312.90 is: 23,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.59 : 42,422.67 = 17,312.90 : x
  2. Step 2: Convert to fraction form
    30,741.59/42,422.67 = 17,312.90/x
  3. Step 3: Cross multiply
    30,741.59x = 42,422.67 × 17,312.90
  4. Step 4: Simplify right side
    30,741.59x = 734,459,334.20
  5. Step 5: Solve for x
    x = 734,459,334.20/30,741.59
  6. Step 6: Final answer
    x = 23,891.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.