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Finding the Fourth Proportional to 35,811.48, 53,713.56 and 9,518.88

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Solution

The fourth proportional to 35,811.48, 53,713.56 and 9,518.88 is: 14,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,811.48 : 53,713.56 = 9,518.88 : x
  2. Step 2: Convert to fraction form
    35,811.48/53,713.56 = 9,518.88/x
  3. Step 3: Cross multiply
    35,811.48x = 53,713.56 × 9,518.88
  4. Step 4: Simplify right side
    35,811.48x = 511,292,932.01
  5. Step 5: Solve for x
    x = 511,292,932.01/35,811.48
  6. Step 6: Final answer
    x = 14,277.35

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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.