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Finding the Fourth Proportional to 34,159.20, 51,243.60 and 10,783.20

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Solution

The fourth proportional to 34,159.20, 51,243.60 and 10,783.20 is: 16,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,159.20 : 51,243.60 = 10,783.20 : x
  2. Step 2: Convert to fraction form
    34,159.20/51,243.60 = 10,783.20/x
  3. Step 3: Cross multiply
    34,159.20x = 51,243.60 × 10,783.20
  4. Step 4: Simplify right side
    34,159.20x = 552,569,987.52
  5. Step 5: Solve for x
    x = 552,569,987.52/34,159.20
  6. Step 6: Final answer
    x = 16,176.32

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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.