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Finding the Fourth Proportional to 34,543.60, 47,668.68 and 19,436

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Solution

The fourth proportional to 34,543.60, 47,668.68 and 19,436 is: 26,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,543.60 : 47,668.68 = 19,436 : x
  2. Step 2: Convert to fraction form
    34,543.60/47,668.68 = 19,436/x
  3. Step 3: Cross multiply
    34,543.60x = 47,668.68 × 19,436
  4. Step 4: Simplify right side
    34,543.60x = 926,488,464.48
  5. Step 5: Solve for x
    x = 926,488,464.48/34,543.60
  6. Step 6: Final answer
    x = 26,820.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.