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Finding the Fourth Proportional to 46,748.21, 64,519.74 and 27,630.11

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Solution

The fourth proportional to 46,748.21, 64,519.74 and 27,630.11 is: 38,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,748.21 : 64,519.74 = 27,630.11 : x
  2. Step 2: Convert to fraction form
    46,748.21/64,519.74 = 27,630.11/x
  3. Step 3: Cross multiply
    46,748.21x = 64,519.74 × 27,630.11
  4. Step 4: Simplify right side
    46,748.21x = 1,782,687,674.67
  5. Step 5: Solve for x
    x = 1,782,687,674.67/46,748.21
  6. Step 6: Final answer
    x = 38,133.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.