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Finding the Fourth Proportional to 37,314, 51,537.60 and 27,225.72

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Solution

The fourth proportional to 37,314, 51,537.60 and 27,225.72 is: 37,603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,314 : 51,537.60 = 27,225.72 : x
  2. Step 2: Convert to fraction form
    37,314/51,537.60 = 27,225.72/x
  3. Step 3: Cross multiply
    37,314x = 51,537.60 × 27,225.72
  4. Step 4: Simplify right side
    37,314x = 1,403,148,267.07
  5. Step 5: Solve for x
    x = 1,403,148,267.07/37,314
  6. Step 6: Final answer
    x = 37,603.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.