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Finding the Fourth Proportional to 52,438.51, 72,365.34 and 28,564.96

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Solution

The fourth proportional to 52,438.51, 72,365.34 and 28,564.96 is: 39,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,438.51 : 72,365.34 = 28,564.96 : x
  2. Step 2: Convert to fraction form
    52,438.51/72,365.34 = 28,564.96/x
  3. Step 3: Cross multiply
    52,438.51x = 72,365.34 × 28,564.96
  4. Step 4: Simplify right side
    52,438.51x = 2,067,113,042.49
  5. Step 5: Solve for x
    x = 2,067,113,042.49/52,438.51
  6. Step 6: Final answer
    x = 39,419.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.