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Finding the Fourth Proportional to 35,853.42, 53,780.34 and 9,558.09

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Solution

The fourth proportional to 35,853.42, 53,780.34 and 9,558.09 is: 14,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,853.42 : 53,780.34 = 9,558.09 : x
  2. Step 2: Convert to fraction form
    35,853.42/53,780.34 = 9,558.09/x
  3. Step 3: Cross multiply
    35,853.42x = 53,780.34 × 9,558.09
  4. Step 4: Simplify right side
    35,853.42x = 514,037,329.95
  5. Step 5: Solve for x
    x = 514,037,329.95/35,853.42
  6. Step 6: Final answer
    x = 14,337.19

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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.