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Finding the Fourth Proportional to 70,175.16, 105,335.64 and 46,963.80

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Solution

The fourth proportional to 70,175.16, 105,335.64 and 46,963.80 is: 70,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,175.16 : 105,335.64 = 46,963.80 : x
  2. Step 2: Convert to fraction form
    70,175.16/105,335.64 = 46,963.80/x
  3. Step 3: Cross multiply
    70,175.16x = 105,335.64 × 46,963.80
  4. Step 4: Simplify right side
    70,175.16x = 4,946,961,929.83
  5. Step 5: Solve for x
    x = 4,946,961,929.83/70,175.16
  6. Step 6: Final answer
    x = 70,494.49

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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.