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Finding the Fourth Proportional to 61,671.60, 92,502.64 and 17,296

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Solution

The fourth proportional to 61,671.60, 92,502.64 and 17,296 is: 25,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,671.60 : 92,502.64 = 17,296 : x
  2. Step 2: Convert to fraction form
    61,671.60/92,502.64 = 17,296/x
  3. Step 3: Cross multiply
    61,671.60x = 92,502.64 × 17,296
  4. Step 4: Simplify right side
    61,671.60x = 1,599,925,661.44
  5. Step 5: Solve for x
    x = 1,599,925,661.44/61,671.60
  6. Step 6: Final answer
    x = 25,942.67

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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.