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Finding the Fourth Proportional to 34,522.94, 51,787.35 and 9,563.00

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Solution

The fourth proportional to 34,522.94, 51,787.35 and 9,563.00 is: 14,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,522.94 : 51,787.35 = 9,563.00 : x
  2. Step 2: Convert to fraction form
    34,522.94/51,787.35 = 9,563.00/x
  3. Step 3: Cross multiply
    34,522.94x = 51,787.35 × 9,563.00
  4. Step 4: Simplify right side
    34,522.94x = 495,242,169.11
  5. Step 5: Solve for x
    x = 495,242,169.11/34,522.94
  6. Step 6: Final answer
    x = 14,345.31

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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.