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Finding the Fourth Proportional to 71,335.25, 106,929.97 and 46,425.32

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Solution

The fourth proportional to 71,335.25, 106,929.97 and 46,425.32 is: 69,590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,335.25 : 106,929.97 = 46,425.32 : x
  2. Step 2: Convert to fraction form
    71,335.25/106,929.97 = 46,425.32/x
  3. Step 3: Cross multiply
    71,335.25x = 106,929.97 × 46,425.32
  4. Step 4: Simplify right side
    71,335.25x = 4,964,258,074.84
  5. Step 5: Solve for x
    x = 4,964,258,074.84/71,335.25
  6. Step 6: Final answer
    x = 69,590.53

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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.