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Finding the Fourth Proportional to 46,475.82, 69,689.03 and 18,394.74

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Solution

The fourth proportional to 46,475.82, 69,689.03 and 18,394.74 is: 27,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,475.82 : 69,689.03 = 18,394.74 : x
  2. Step 2: Convert to fraction form
    46,475.82/69,689.03 = 18,394.74/x
  3. Step 3: Cross multiply
    46,475.82x = 69,689.03 × 18,394.74
  4. Step 4: Simplify right side
    46,475.82x = 1,281,911,495.73
  5. Step 5: Solve for x
    x = 1,281,911,495.73/46,475.82
  6. Step 6: Final answer
    x = 27,582.33

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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.