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Finding the Fourth Proportional to 83,060.64, 114,623.28 and 45,334.80

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Solution

The fourth proportional to 83,060.64, 114,623.28 and 45,334.80 is: 62,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,060.64 : 114,623.28 = 45,334.80 : x
  2. Step 2: Convert to fraction form
    83,060.64/114,623.28 = 45,334.80/x
  3. Step 3: Cross multiply
    83,060.64x = 114,623.28 × 45,334.80
  4. Step 4: Simplify right side
    83,060.64x = 5,196,423,474.14
  5. Step 5: Solve for x
    x = 5,196,423,474.14/83,060.64
  6. Step 6: Final answer
    x = 62,561.80

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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.