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Finding the Fourth Proportional to 100,827.98, 151,011.93 and 48,274.64

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Solution

The fourth proportional to 100,827.98, 151,011.93 and 48,274.64 is: 72,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,827.98 : 151,011.93 = 48,274.64 : x
  2. Step 2: Convert to fraction form
    100,827.98/151,011.93 = 48,274.64/x
  3. Step 3: Cross multiply
    100,827.98x = 151,011.93 × 48,274.64
  4. Step 4: Simplify right side
    100,827.98x = 7,290,046,556.46
  5. Step 5: Solve for x
    x = 7,290,046,556.46/100,827.98
  6. Step 6: Final answer
    x = 72,301.82

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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.