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Finding the Fourth Proportional to 51,784.60, 71,386.68 and 36,630.58

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Solution

The fourth proportional to 51,784.60, 71,386.68 and 36,630.58 is: 50,496.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,784.60 : 71,386.68 = 36,630.58 : x
  2. Step 2: Convert to fraction form
    51,784.60/71,386.68 = 36,630.58/x
  3. Step 3: Cross multiply
    51,784.60x = 71,386.68 × 36,630.58
  4. Step 4: Simplify right side
    51,784.60x = 2,614,935,492.67
  5. Step 5: Solve for x
    x = 2,614,935,492.67/51,784.60
  6. Step 6: Final answer
    x = 50,496.39

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Why These Related Problems?

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