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Finding the Fourth Proportional to 35,820.92, 53,731.56 and 9,527.60

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Solution

The fourth proportional to 35,820.92, 53,731.56 and 9,527.60 is: 14,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,820.92 : 53,731.56 = 9,527.60 : x
  2. Step 2: Convert to fraction form
    35,820.92/53,731.56 = 9,527.60/x
  3. Step 3: Cross multiply
    35,820.92x = 53,731.56 × 9,527.60
  4. Step 4: Simplify right side
    35,820.92x = 511,932,811.06
  5. Step 5: Solve for x
    x = 511,932,811.06/35,820.92
  6. Step 6: Final answer
    x = 14,291.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.