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Finding the Fourth Proportional to 46,123, 63,649.76 and 26,251

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Solution

The fourth proportional to 46,123, 63,649.76 and 26,251 is: 36,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,123 : 63,649.76 = 26,251 : x
  2. Step 2: Convert to fraction form
    46,123/63,649.76 = 26,251/x
  3. Step 3: Cross multiply
    46,123x = 63,649.76 × 26,251
  4. Step 4: Simplify right side
    46,123x = 1,670,869,849.76
  5. Step 5: Solve for x
    x = 1,670,869,849.76/46,123
  6. Step 6: Final answer
    x = 36,226.39

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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.