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Finding the Fourth Proportional to 30,442.50, 45,677.43 and 19,346.31

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Solution

The fourth proportional to 30,442.50, 45,677.43 and 19,346.31 is: 29,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.50 : 45,677.43 = 19,346.31 : x
  2. Step 2: Convert to fraction form
    30,442.50/45,677.43 = 19,346.31/x
  3. Step 3: Cross multiply
    30,442.50x = 45,677.43 × 19,346.31
  4. Step 4: Simplify right side
    30,442.50x = 883,689,720.78
  5. Step 5: Solve for x
    x = 883,689,720.78/30,442.50
  6. Step 6: Final answer
    x = 29,028.16

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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.