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Finding the Fourth Proportional to 65,957.69, 98,935.65 and 16,037.64

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Solution

The fourth proportional to 65,957.69, 98,935.65 and 16,037.64 is: 24,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,957.69 : 98,935.65 = 16,037.64 : x
  2. Step 2: Convert to fraction form
    65,957.69/98,935.65 = 16,037.64/x
  3. Step 3: Cross multiply
    65,957.69x = 98,935.65 × 16,037.64
  4. Step 4: Simplify right side
    65,957.69x = 1,586,694,337.87
  5. Step 5: Solve for x
    x = 1,586,694,337.87/65,957.69
  6. Step 6: Final answer
    x = 24,056.25

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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.