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Finding the Fourth Proportional to 35,811.63, 53,713.22 and 9,518.40

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Solution

The fourth proportional to 35,811.63, 53,713.22 and 9,518.40 is: 14,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,811.63 : 53,713.22 = 9,518.40 : x
  2. Step 2: Convert to fraction form
    35,811.63/53,713.22 = 9,518.40/x
  3. Step 3: Cross multiply
    35,811.63x = 53,713.22 × 9,518.40
  4. Step 4: Simplify right side
    35,811.63x = 511,263,865.66
  5. Step 5: Solve for x
    x = 511,263,865.66/35,811.63
  6. Step 6: Final answer
    x = 14,276.48

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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.