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Finding the Fourth Proportional to 37,569, 56,372.94 and 19,101

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Solution

The fourth proportional to 37,569, 56,372.94 and 19,101 is: 28,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,569 : 56,372.94 = 19,101 : x
  2. Step 2: Convert to fraction form
    37,569/56,372.94 = 19,101/x
  3. Step 3: Cross multiply
    37,569x = 56,372.94 × 19,101
  4. Step 4: Simplify right side
    37,569x = 1,076,779,526.94
  5. Step 5: Solve for x
    x = 1,076,779,526.94/37,569
  6. Step 6: Final answer
    x = 28,661.38

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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.