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Finding the Fourth Proportional to 83,004.65, 114,546.17 and 45,278.63

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Solution

The fourth proportional to 83,004.65, 114,546.17 and 45,278.63 is: 62,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,004.65 : 114,546.17 = 45,278.63 : x
  2. Step 2: Convert to fraction form
    83,004.65/114,546.17 = 45,278.63/x
  3. Step 3: Cross multiply
    83,004.65x = 114,546.17 × 45,278.63
  4. Step 4: Simplify right side
    83,004.65x = 5,186,492,850.22
  5. Step 5: Solve for x
    x = 5,186,492,850.22/83,004.65
  6. Step 6: Final answer
    x = 62,484.37

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1.5x scale

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.