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Finding the Fourth Proportional to 51,904.95, 77,951.29 and 47,951.95

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Solution

The fourth proportional to 51,904.95, 77,951.29 and 47,951.95 is: 72,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,904.95 : 77,951.29 = 47,951.95 : x
  2. Step 2: Convert to fraction form
    51,904.95/77,951.29 = 47,951.95/x
  3. Step 3: Cross multiply
    51,904.95x = 77,951.29 × 47,951.95
  4. Step 4: Simplify right side
    51,904.95x = 3,737,916,120.76
  5. Step 5: Solve for x
    x = 3,737,916,120.76/51,904.95
  6. Step 6: Final answer
    x = 72,014.64

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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.