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Finding the Fourth Proportional to 34,580.88, 47,719.08 and 20,431.08

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Solution

The fourth proportional to 34,580.88, 47,719.08 and 20,431.08 is: 28,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,580.88 : 47,719.08 = 20,431.08 : x
  2. Step 2: Convert to fraction form
    34,580.88/47,719.08 = 20,431.08/x
  3. Step 3: Cross multiply
    34,580.88x = 47,719.08 × 20,431.08
  4. Step 4: Simplify right side
    34,580.88x = 974,952,341.01
  5. Step 5: Solve for x
    x = 974,952,341.01/34,580.88
  6. Step 6: Final answer
    x = 28,193.39

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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.