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Finding the Fourth Proportional to 37,237.86, 51,386.85 and 21,311.01

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Solution

The fourth proportional to 37,237.86, 51,386.85 and 21,311.01 is: 29,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,237.86 : 51,386.85 = 21,311.01 : x
  2. Step 2: Convert to fraction form
    37,237.86/51,386.85 = 21,311.01/x
  3. Step 3: Cross multiply
    37,237.86x = 51,386.85 × 21,311.01
  4. Step 4: Simplify right side
    37,237.86x = 1,095,105,674.22
  5. Step 5: Solve for x
    x = 1,095,105,674.22/37,237.86
  6. Step 6: Final answer
    x = 29,408.39

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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.