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Finding the Fourth Proportional to 37,954.44, 56,931.66 and 11,655.77

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Solution

The fourth proportional to 37,954.44, 56,931.66 and 11,655.77 is: 17,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,954.44 : 56,931.66 = 11,655.77 : x
  2. Step 2: Convert to fraction form
    37,954.44/56,931.66 = 11,655.77/x
  3. Step 3: Cross multiply
    37,954.44x = 56,931.66 × 11,655.77
  4. Step 4: Simplify right side
    37,954.44x = 663,582,050.02
  5. Step 5: Solve for x
    x = 663,582,050.02/37,954.44
  6. Step 6: Final answer
    x = 17,483.65

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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.