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Finding the Fourth Proportional to 35,780.57, 53,674.53 and 9,485.31

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Solution

The fourth proportional to 35,780.57, 53,674.53 and 9,485.31 is: 14,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780.57 : 53,674.53 = 9,485.31 : x
  2. Step 2: Convert to fraction form
    35,780.57/53,674.53 = 9,485.31/x
  3. Step 3: Cross multiply
    35,780.57x = 53,674.53 × 9,485.31
  4. Step 4: Simplify right side
    35,780.57x = 509,119,556.15
  5. Step 5: Solve for x
    x = 509,119,556.15/35,780.57
  6. Step 6: Final answer
    x = 14,228.94

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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.