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Finding the Fourth Proportional to 69,577.83, 96,015.51 and 38,532

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Solution

The fourth proportional to 69,577.83, 96,015.51 and 38,532 is: 53,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,577.83 : 96,015.51 = 38,532 : x
  2. Step 2: Convert to fraction form
    69,577.83/96,015.51 = 38,532/x
  3. Step 3: Cross multiply
    69,577.83x = 96,015.51 × 38,532
  4. Step 4: Simplify right side
    69,577.83x = 3,699,669,631.32
  5. Step 5: Solve for x
    x = 3,699,669,631.32/69,577.83
  6. Step 6: Final answer
    x = 53,173.11

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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.