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Finding the Fourth Proportional to 94,624.80, 141,950.80 and 31,423.44

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Solution

The fourth proportional to 94,624.80, 141,950.80 and 31,423.44 is: 47,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,624.80 : 141,950.80 = 31,423.44 : x
  2. Step 2: Convert to fraction form
    94,624.80/141,950.80 = 31,423.44/x
  3. Step 3: Cross multiply
    94,624.80x = 141,950.80 × 31,423.44
  4. Step 4: Simplify right side
    94,624.80x = 4,460,582,446.75
  5. Step 5: Solve for x
    x = 4,460,582,446.75/94,624.80
  6. Step 6: Final answer
    x = 47,139.68

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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.