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Finding the Fourth Proportional to 46,464, 69,704.64 and 21,840

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Solution

The fourth proportional to 46,464, 69,704.64 and 21,840 is: 32,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,464 : 69,704.64 = 21,840 : x
  2. Step 2: Convert to fraction form
    46,464/69,704.64 = 21,840/x
  3. Step 3: Cross multiply
    46,464x = 69,704.64 × 21,840
  4. Step 4: Simplify right side
    46,464x = 1,522,349,337.60
  5. Step 5: Solve for x
    x = 1,522,349,337.60/46,464
  6. Step 6: Final answer
    x = 32,764.06

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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.