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Finding the Fourth Proportional to 35,514.56, 53,271.95 and 9,219.53

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Solution

The fourth proportional to 35,514.56, 53,271.95 and 9,219.53 is: 13,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,514.56 : 53,271.95 = 9,219.53 : x
  2. Step 2: Convert to fraction form
    35,514.56/53,271.95 = 9,219.53/x
  3. Step 3: Cross multiply
    35,514.56x = 53,271.95 × 9,219.53
  4. Step 4: Simplify right side
    35,514.56x = 491,142,428.27
  5. Step 5: Solve for x
    x = 491,142,428.27/35,514.56
  6. Step 6: Final answer
    x = 13,829.33

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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.