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Finding the Fourth Proportional to 36,977.30, 55,462.80 and 15,916.50

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Solution

The fourth proportional to 36,977.30, 55,462.80 and 15,916.50 is: 23,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,977.30 : 55,462.80 = 15,916.50 : x
  2. Step 2: Convert to fraction form
    36,977.30/55,462.80 = 15,916.50/x
  3. Step 3: Cross multiply
    36,977.30x = 55,462.80 × 15,916.50
  4. Step 4: Simplify right side
    36,977.30x = 882,773,656.20
  5. Step 5: Solve for x
    x = 882,773,656.20/36,977.30
  6. Step 6: Final answer
    x = 23,873.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.