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Finding the Fourth Proportional to 115,648, 159,594.24 and 62,656

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Solution

The fourth proportional to 115,648, 159,594.24 and 62,656 is: 86,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,648 : 159,594.24 = 62,656 : x
  2. Step 2: Convert to fraction form
    115,648/159,594.24 = 62,656/x
  3. Step 3: Cross multiply
    115,648x = 159,594.24 × 62,656
  4. Step 4: Simplify right side
    115,648x = 9,999,536,701.44
  5. Step 5: Solve for x
    x = 9,999,536,701.44/115,648
  6. Step 6: Final answer
    x = 86,465.28

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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.