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Finding the Fourth Proportional to 42,957.92, 64,410.41 and 14,871.44

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Solution

The fourth proportional to 42,957.92, 64,410.41 and 14,871.44 is: 22,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,957.92 : 64,410.41 = 14,871.44 : x
  2. Step 2: Convert to fraction form
    42,957.92/64,410.41 = 14,871.44/x
  3. Step 3: Cross multiply
    42,957.92x = 64,410.41 × 14,871.44
  4. Step 4: Simplify right side
    42,957.92x = 957,875,151.28
  5. Step 5: Solve for x
    x = 957,875,151.28/42,957.92
  6. Step 6: Final answer
    x = 22,297.99

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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.