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Finding the Fourth Proportional to 46,662.32, 64,399.55 and 29,459.68

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Solution

The fourth proportional to 46,662.32, 64,399.55 and 29,459.68 is: 40,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,662.32 : 64,399.55 = 29,459.68 : x
  2. Step 2: Convert to fraction form
    46,662.32/64,399.55 = 29,459.68/x
  3. Step 3: Cross multiply
    46,662.32x = 64,399.55 × 29,459.68
  4. Step 4: Simplify right side
    46,662.32x = 1,897,190,135.14
  5. Step 5: Solve for x
    x = 1,897,190,135.14/46,662.32
  6. Step 6: Final answer
    x = 40,657.86

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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.