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Finding the Fourth Proportional to 83,496, 115,224.75 and 45,256.17

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Solution

The fourth proportional to 83,496, 115,224.75 and 45,256.17 is: 62,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,496 : 115,224.75 = 45,256.17 : x
  2. Step 2: Convert to fraction form
    83,496/115,224.75 = 45,256.17/x
  3. Step 3: Cross multiply
    83,496x = 115,224.75 × 45,256.17
  4. Step 4: Simplify right side
    83,496x = 5,214,630,874.21
  5. Step 5: Solve for x
    x = 5,214,630,874.21/83,496
  6. Step 6: Final answer
    x = 62,453.66

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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.