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Finding the Fourth Proportional to 53,476, 80,292.85 and 29,829.74

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Solution

The fourth proportional to 53,476, 80,292.85 and 29,829.74 is: 44,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,476 : 80,292.85 = 29,829.74 : x
  2. Step 2: Convert to fraction form
    53,476/80,292.85 = 29,829.74/x
  3. Step 3: Cross multiply
    53,476x = 80,292.85 × 29,829.74
  4. Step 4: Simplify right side
    53,476x = 2,395,114,690.21
  5. Step 5: Solve for x
    x = 2,395,114,690.21/53,476
  6. Step 6: Final answer
    x = 44,788.59

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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.