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Finding the Fourth Proportional to 35,775.96, 53,663.88 and 13,584.06

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Solution

The fourth proportional to 35,775.96, 53,663.88 and 13,584.06 is: 20,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,775.96 : 53,663.88 = 13,584.06 : x
  2. Step 2: Convert to fraction form
    35,775.96/53,663.88 = 13,584.06/x
  3. Step 3: Cross multiply
    35,775.96x = 53,663.88 × 13,584.06
  4. Step 4: Simplify right side
    35,775.96x = 728,973,365.75
  5. Step 5: Solve for x
    x = 728,973,365.75/35,775.96
  6. Step 6: Final answer
    x = 20,376.07

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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.