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Finding the Fourth Proportional to 52,838.64, 79,262.28 and 21,674.16

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Solution

The fourth proportional to 52,838.64, 79,262.28 and 21,674.16 is: 32,513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,838.64 : 79,262.28 = 21,674.16 : x
  2. Step 2: Convert to fraction form
    52,838.64/79,262.28 = 21,674.16/x
  3. Step 3: Cross multiply
    52,838.64x = 79,262.28 × 21,674.16
  4. Step 4: Simplify right side
    52,838.64x = 1,717,943,338.68
  5. Step 5: Solve for x
    x = 1,717,943,338.68/52,838.64
  6. Step 6: Final answer
    x = 32,513.01

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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.