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Finding the Fourth Proportional to 47,586.66, 65,639.85 and 30,613

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Solution

The fourth proportional to 47,586.66, 65,639.85 and 30,613 is: 42,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,586.66 : 65,639.85 = 30,613 : x
  2. Step 2: Convert to fraction form
    47,586.66/65,639.85 = 30,613/x
  3. Step 3: Cross multiply
    47,586.66x = 65,639.85 × 30,613
  4. Step 4: Simplify right side
    47,586.66x = 2,009,432,728.05
  5. Step 5: Solve for x
    x = 2,009,432,728.05/47,586.66
  6. Step 6: Final answer
    x = 42,226.81

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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.