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Finding the Fourth Proportional to 46,464, 69,726.72 and 21,841.92

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Solution

The fourth proportional to 46,464, 69,726.72 and 21,841.92 is: 32,777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,464 : 69,726.72 = 21,841.92 : x
  2. Step 2: Convert to fraction form
    46,464/69,726.72 = 21,841.92/x
  3. Step 3: Cross multiply
    46,464x = 69,726.72 × 21,841.92
  4. Step 4: Simplify right side
    46,464x = 1,522,965,440.10
  5. Step 5: Solve for x
    x = 1,522,965,440.10/46,464
  6. Step 6: Final answer
    x = 32,777.32

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Why These Related Problems?

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