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Finding the Fourth Proportional to 37,303.38, 51,478.86 and 20,307.72

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Solution

The fourth proportional to 37,303.38, 51,478.86 and 20,307.72 is: 28,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,303.38 : 51,478.86 = 20,307.72 : x
  2. Step 2: Convert to fraction form
    37,303.38/51,478.86 = 20,307.72/x
  3. Step 3: Cross multiply
    37,303.38x = 51,478.86 × 20,307.72
  4. Step 4: Simplify right side
    37,303.38x = 1,045,418,274.80
  5. Step 5: Solve for x
    x = 1,045,418,274.80/37,303.38
  6. Step 6: Final answer
    x = 28,024.76

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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.