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Finding the Fourth Proportional to 110,929.50, 166,392.63 and 51,732

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Solution

The fourth proportional to 110,929.50, 166,392.63 and 51,732 is: 77,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,929.50 : 166,392.63 = 51,732 : x
  2. Step 2: Convert to fraction form
    110,929.50/166,392.63 = 51,732/x
  3. Step 3: Cross multiply
    110,929.50x = 166,392.63 × 51,732
  4. Step 4: Simplify right side
    110,929.50x = 8,607,823,535.16
  5. Step 5: Solve for x
    x = 8,607,823,535.16/110,929.50
  6. Step 6: Final answer
    x = 77,597.24

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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.