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Finding the Fourth Proportional to 89,833.63, 134,763.90 and 29,023.57

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Solution

The fourth proportional to 89,833.63, 134,763.90 and 29,023.57 is: 43,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,833.63 : 134,763.90 = 29,023.57 : x
  2. Step 2: Convert to fraction form
    89,833.63/134,763.90 = 29,023.57/x
  3. Step 3: Cross multiply
    89,833.63x = 134,763.90 × 29,023.57
  4. Step 4: Simplify right side
    89,833.63x = 3,911,329,485.12
  5. Step 5: Solve for x
    x = 3,911,329,485.12/89,833.63
  6. Step 6: Final answer
    x = 43,539.70

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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.