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Finding the Fourth Proportional to 37,671.50, 56,508.34 and 9,969.50

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Solution

The fourth proportional to 37,671.50, 56,508.34 and 9,969.50 is: 14,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,671.50 : 56,508.34 = 9,969.50 : x
  2. Step 2: Convert to fraction form
    37,671.50/56,508.34 = 9,969.50/x
  3. Step 3: Cross multiply
    37,671.50x = 56,508.34 × 9,969.50
  4. Step 4: Simplify right side
    37,671.50x = 563,359,895.63
  5. Step 5: Solve for x
    x = 563,359,895.63/37,671.50
  6. Step 6: Final answer
    x = 14,954.54

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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.