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Finding the Fourth Proportional to 51,617.98, 77,295.76 and 47,287.72

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Solution

The fourth proportional to 51,617.98, 77,295.76 and 47,287.72 is: 70,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,617.98 : 77,295.76 = 47,287.72 : x
  2. Step 2: Convert to fraction form
    51,617.98/77,295.76 = 47,287.72/x
  3. Step 3: Cross multiply
    51,617.98x = 77,295.76 × 47,287.72
  4. Step 4: Simplify right side
    51,617.98x = 3,655,140,256.07
  5. Step 5: Solve for x
    x = 3,655,140,256.07/51,617.98
  6. Step 6: Final answer
    x = 70,811.38

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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.