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Finding the Fourth Proportional to 76,957.92, 106,202.16 and 43,423.20

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Solution

The fourth proportional to 76,957.92, 106,202.16 and 43,423.20 is: 59,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,957.92 : 106,202.16 = 43,423.20 : x
  2. Step 2: Convert to fraction form
    76,957.92/106,202.16 = 43,423.20/x
  3. Step 3: Cross multiply
    76,957.92x = 106,202.16 × 43,423.20
  4. Step 4: Simplify right side
    76,957.92x = 4,611,637,634.11
  5. Step 5: Solve for x
    x = 4,611,637,634.11/76,957.92
  6. Step 6: Final answer
    x = 59,924.15

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1.5x scale

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.