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Finding the Fourth Proportional to 35,822.48, 53,733.65 and 9,527.24

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Solution

The fourth proportional to 35,822.48, 53,733.65 and 9,527.24 is: 14,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,822.48 : 53,733.65 = 9,527.24 : x
  2. Step 2: Convert to fraction form
    35,822.48/53,733.65 = 9,527.24/x
  3. Step 3: Cross multiply
    35,822.48x = 53,733.65 × 9,527.24
  4. Step 4: Simplify right side
    35,822.48x = 511,933,466.32
  5. Step 5: Solve for x
    x = 511,933,466.32/35,822.48
  6. Step 6: Final answer
    x = 14,290.85

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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.