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Finding the Fourth Proportional to 43,957.94, 65,935.98 and 10,678.16

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Solution

The fourth proportional to 43,957.94, 65,935.98 and 10,678.16 is: 16,017.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,957.94 : 65,935.98 = 10,678.16 : x
  2. Step 2: Convert to fraction form
    43,957.94/65,935.98 = 10,678.16/x
  3. Step 3: Cross multiply
    43,957.94x = 65,935.98 × 10,678.16
  4. Step 4: Simplify right side
    43,957.94x = 704,074,944.20
  5. Step 5: Solve for x
    x = 704,074,944.20/43,957.94
  6. Step 6: Final answer
    x = 16,017.01

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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.