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Finding the Fourth Proportional to 75,653.40, 104,355.18 and 46,983

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Solution

The fourth proportional to 75,653.40, 104,355.18 and 46,983 is: 64,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,653.40 : 104,355.18 = 46,983 : x
  2. Step 2: Convert to fraction form
    75,653.40/104,355.18 = 46,983/x
  3. Step 3: Cross multiply
    75,653.40x = 104,355.18 × 46,983
  4. Step 4: Simplify right side
    75,653.40x = 4,902,919,421.94
  5. Step 5: Solve for x
    x = 4,902,919,421.94/75,653.40
  6. Step 6: Final answer
    x = 64,807.65

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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.