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Finding the Fourth Proportional to 51,347.34, 77,023.71 and 16,289.73

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Solution

The fourth proportional to 51,347.34, 77,023.71 and 16,289.73 is: 24,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,347.34 : 77,023.71 = 16,289.73 : x
  2. Step 2: Convert to fraction form
    51,347.34/77,023.71 = 16,289.73/x
  3. Step 3: Cross multiply
    51,347.34x = 77,023.71 × 16,289.73
  4. Step 4: Simplify right side
    51,347.34x = 1,254,695,439.50
  5. Step 5: Solve for x
    x = 1,254,695,439.50/51,347.34
  6. Step 6: Final answer
    x = 24,435.45

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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.