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Finding the Fourth Proportional to 65,957.72, 98,935.19 and 16,038.07

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Solution

The fourth proportional to 65,957.72, 98,935.19 and 16,038.07 is: 24,056.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,957.72 : 98,935.19 = 16,038.07 : x
  2. Step 2: Convert to fraction form
    65,957.72/98,935.19 = 16,038.07/x
  3. Step 3: Cross multiply
    65,957.72x = 98,935.19 × 16,038.07
  4. Step 4: Simplify right side
    65,957.72x = 1,586,729,175.15
  5. Step 5: Solve for x
    x = 1,586,729,175.15/65,957.72
  6. Step 6: Final answer
    x = 24,056.76

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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.