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Finding the Fourth Proportional to 34,530.50, 51,746.34 and 27,478.74

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Solution

The fourth proportional to 34,530.50, 51,746.34 and 27,478.74 is: 41,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,530.50 : 51,746.34 = 27,478.74 : x
  2. Step 2: Convert to fraction form
    34,530.50/51,746.34 = 27,478.74/x
  3. Step 3: Cross multiply
    34,530.50x = 51,746.34 × 27,478.74
  4. Step 4: Simplify right side
    34,530.50x = 1,421,924,519.91
  5. Step 5: Solve for x
    x = 1,421,924,519.91/34,530.50
  6. Step 6: Final answer
    x = 41,178.80

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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.