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Finding the Fourth Proportional to 34,155.60, 51,240.60 and 10,784.40

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Solution

The fourth proportional to 34,155.60, 51,240.60 and 10,784.40 is: 16,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,155.60 : 51,240.60 = 10,784.40 : x
  2. Step 2: Convert to fraction form
    34,155.60/51,240.60 = 10,784.40/x
  3. Step 3: Cross multiply
    34,155.60x = 51,240.60 × 10,784.40
  4. Step 4: Simplify right side
    34,155.60x = 552,599,126.64
  5. Step 5: Solve for x
    x = 552,599,126.64/34,155.60
  6. Step 6: Final answer
    x = 16,178.87

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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.