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Finding the Fourth Proportional to 46,515.64, 69,782.12 and 21,539.20

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Solution

The fourth proportional to 46,515.64, 69,782.12 and 21,539.20 is: 32,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,515.64 : 69,782.12 = 21,539.20 : x
  2. Step 2: Convert to fraction form
    46,515.64/69,782.12 = 21,539.20/x
  3. Step 3: Cross multiply
    46,515.64x = 69,782.12 × 21,539.20
  4. Step 4: Simplify right side
    46,515.64x = 1,503,051,039.10
  5. Step 5: Solve for x
    x = 1,503,051,039.10/46,515.64
  6. Step 6: Final answer
    x = 32,312.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.