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Finding the Fourth Proportional to 55,472, 76,549.92 and 32,812.16

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Solution

The fourth proportional to 55,472, 76,549.92 and 32,812.16 is: 45,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,472 : 76,549.92 = 32,812.16 : x
  2. Step 2: Convert to fraction form
    55,472/76,549.92 = 32,812.16/x
  3. Step 3: Cross multiply
    55,472x = 76,549.92 × 32,812.16
  4. Step 4: Simplify right side
    55,472x = 2,511,768,223.03
  5. Step 5: Solve for x
    x = 2,511,768,223.03/55,472
  6. Step 6: Final answer
    x = 45,279.93

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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.