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Finding the Fourth Proportional to 46,458, 64,124.70 and 27,343.91

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Solution

The fourth proportional to 46,458, 64,124.70 and 27,343.91 is: 37,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,458 : 64,124.70 = 27,343.91 : x
  2. Step 2: Convert to fraction form
    46,458/64,124.70 = 27,343.91/x
  3. Step 3: Cross multiply
    46,458x = 64,124.70 × 27,343.91
  4. Step 4: Simplify right side
    46,458x = 1,753,419,704.95
  5. Step 5: Solve for x
    x = 1,753,419,704.95/46,458
  6. Step 6: Final answer
    x = 37,742.04

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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.