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Finding the Fourth Proportional to 35,464.58, 53,178.74 and 11,763.57

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Solution

The fourth proportional to 35,464.58, 53,178.74 and 11,763.57 is: 17,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,464.58 : 53,178.74 = 11,763.57 : x
  2. Step 2: Convert to fraction form
    35,464.58/53,178.74 = 11,763.57/x
  3. Step 3: Cross multiply
    35,464.58x = 53,178.74 × 11,763.57
  4. Step 4: Simplify right side
    35,464.58x = 625,571,830.50
  5. Step 5: Solve for x
    x = 625,571,830.50/35,464.58
  6. Step 6: Final answer
    x = 17,639.34

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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.