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Finding the Fourth Proportional to 46,375, 63,997.50 and 26,503

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Solution

The fourth proportional to 46,375, 63,997.50 and 26,503 is: 36,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,375 : 63,997.50 = 26,503 : x
  2. Step 2: Convert to fraction form
    46,375/63,997.50 = 26,503/x
  3. Step 3: Cross multiply
    46,375x = 63,997.50 × 26,503
  4. Step 4: Simplify right side
    46,375x = 1,696,125,742.50
  5. Step 5: Solve for x
    x = 1,696,125,742.50/46,375
  6. Step 6: Final answer
    x = 36,574.14

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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.