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Finding the Fourth Proportional to 65,281, 97,923.42 and 16,033

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Solution

The fourth proportional to 65,281, 97,923.42 and 16,033 is: 24,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,281 : 97,923.42 = 16,033 : x
  2. Step 2: Convert to fraction form
    65,281/97,923.42 = 16,033/x
  3. Step 3: Cross multiply
    65,281x = 97,923.42 × 16,033
  4. Step 4: Simplify right side
    65,281x = 1,570,006,192.86
  5. Step 5: Solve for x
    x = 1,570,006,192.86/65,281
  6. Step 6: Final answer
    x = 24,049.97

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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.