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Finding the Fourth Proportional to 47,639.76, 65,747.64 and 26,423.16

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Solution

The fourth proportional to 47,639.76, 65,747.64 and 26,423.16 is: 36,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,639.76 : 65,747.64 = 26,423.16 : x
  2. Step 2: Convert to fraction form
    47,639.76/65,747.64 = 26,423.16/x
  3. Step 3: Cross multiply
    47,639.76x = 65,747.64 × 26,423.16
  4. Step 4: Simplify right side
    47,639.76x = 1,737,260,411.34
  5. Step 5: Solve for x
    x = 1,737,260,411.34/47,639.76
  6. Step 6: Final answer
    x = 36,466.61

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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.