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Finding the Fourth Proportional to 46,466, 69,707.64 and 21,842

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Solution

The fourth proportional to 46,466, 69,707.64 and 21,842 is: 32,767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,466 : 69,707.64 = 21,842 : x
  2. Step 2: Convert to fraction form
    46,466/69,707.64 = 21,842/x
  3. Step 3: Cross multiply
    46,466x = 69,707.64 × 21,842
  4. Step 4: Simplify right side
    46,466x = 1,522,554,272.88
  5. Step 5: Solve for x
    x = 1,522,554,272.88/46,466
  6. Step 6: Final answer
    x = 32,767.06

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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.