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Finding the Fourth Proportional to 52,813.76, 79,215.48 and 21,646.64

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Solution

The fourth proportional to 52,813.76, 79,215.48 and 21,646.64 is: 32,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,813.76 : 79,215.48 = 21,646.64 : x
  2. Step 2: Convert to fraction form
    52,813.76/79,215.48 = 21,646.64/x
  3. Step 3: Cross multiply
    52,813.76x = 79,215.48 × 21,646.64
  4. Step 4: Simplify right side
    52,813.76x = 1,714,748,977.99
  5. Step 5: Solve for x
    x = 1,714,748,977.99/52,813.76
  6. Step 6: Final answer
    x = 32,467.85

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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.