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Finding the Fourth Proportional to 52,437.84, 72,365.34 and 28,564.47

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Solution

The fourth proportional to 52,437.84, 72,365.34 and 28,564.47 is: 39,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,437.84 : 72,365.34 = 28,564.47 : x
  2. Step 2: Convert to fraction form
    52,437.84/72,365.34 = 28,564.47/x
  3. Step 3: Cross multiply
    52,437.84x = 72,365.34 × 28,564.47
  4. Step 4: Simplify right side
    52,437.84x = 2,067,077,583.47
  5. Step 5: Solve for x
    x = 2,067,077,583.47/52,437.84
  6. Step 6: Final answer
    x = 39,419.58

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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.