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Finding the Fourth Proportional to 30,827.39, 46,166.56 and 17,639.78

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Solution

The fourth proportional to 30,827.39, 46,166.56 and 17,639.78 is: 26,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827.39 : 46,166.56 = 17,639.78 : x
  2. Step 2: Convert to fraction form
    30,827.39/46,166.56 = 17,639.78/x
  3. Step 3: Cross multiply
    30,827.39x = 46,166.56 × 17,639.78
  4. Step 4: Simplify right side
    30,827.39x = 814,367,686.82
  5. Step 5: Solve for x
    x = 814,367,686.82/30,827.39
  6. Step 6: Final answer
    x = 26,417.02

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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.