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Finding the Fourth Proportional to 31,588.70, 47,363.58 and 28,594.94

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Solution

The fourth proportional to 31,588.70, 47,363.58 and 28,594.94 is: 42,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,588.70 : 47,363.58 = 28,594.94 : x
  2. Step 2: Convert to fraction form
    31,588.70/47,363.58 = 28,594.94/x
  3. Step 3: Cross multiply
    31,588.70x = 47,363.58 × 28,594.94
  4. Step 4: Simplify right side
    31,588.70x = 1,354,358,728.29
  5. Step 5: Solve for x
    x = 1,354,358,728.29/31,588.70
  6. Step 6: Final answer
    x = 42,874.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.