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Finding the Fourth Proportional to 96,595.31, 144,790.70 and 32,492.43

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Solution

The fourth proportional to 96,595.31, 144,790.70 and 32,492.43 is: 48,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,595.31 : 144,790.70 = 32,492.43 : x
  2. Step 2: Convert to fraction form
    96,595.31/144,790.70 = 32,492.43/x
  3. Step 3: Cross multiply
    96,595.31x = 144,790.70 × 32,492.43
  4. Step 4: Simplify right side
    96,595.31x = 4,704,600,879.22
  5. Step 5: Solve for x
    x = 4,704,600,879.22/96,595.31
  6. Step 6: Final answer
    x = 48,704.24

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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.