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Finding the Fourth Proportional to 76,752.91, 105,890.92 and 46,516.42

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Solution

The fourth proportional to 76,752.91, 105,890.92 and 46,516.42 is: 64,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,752.91 : 105,890.92 = 46,516.42 : x
  2. Step 2: Convert to fraction form
    76,752.91/105,890.92 = 46,516.42/x
  3. Step 3: Cross multiply
    76,752.91x = 105,890.92 × 46,516.42
  4. Step 4: Simplify right side
    76,752.91x = 4,925,666,508.91
  5. Step 5: Solve for x
    x = 4,925,666,508.91/76,752.91
  6. Step 6: Final answer
    x = 64,175.63

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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.