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Finding the Fourth Proportional to 37,661.67, 56,492.91 and 11,366.64

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Solution

The fourth proportional to 37,661.67, 56,492.91 and 11,366.64 is: 17,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,661.67 : 56,492.91 = 11,366.64 : x
  2. Step 2: Convert to fraction form
    37,661.67/56,492.91 = 11,366.64/x
  3. Step 3: Cross multiply
    37,661.67x = 56,492.91 × 11,366.64
  4. Step 4: Simplify right side
    37,661.67x = 642,134,570.52
  5. Step 5: Solve for x
    x = 642,134,570.52/37,661.67
  6. Step 6: Final answer
    x = 17,050.08

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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.