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Finding the Fourth Proportional to 34,495.80, 51,743.30 and 24,322.28

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Solution

The fourth proportional to 34,495.80, 51,743.30 and 24,322.28 is: 36,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,495.80 : 51,743.30 = 24,322.28 : x
  2. Step 2: Convert to fraction form
    34,495.80/51,743.30 = 24,322.28/x
  3. Step 3: Cross multiply
    34,495.80x = 51,743.30 × 24,322.28
  4. Step 4: Simplify right side
    34,495.80x = 1,258,515,030.72
  5. Step 5: Solve for x
    x = 1,258,515,030.72/34,495.80
  6. Step 6: Final answer
    x = 36,483.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.