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Finding the Fourth Proportional to 55,825.50, 77,020.12 and 34,597.02

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Solution

The fourth proportional to 55,825.50, 77,020.12 and 34,597.02 is: 47,732.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,825.50 : 77,020.12 = 34,597.02 : x
  2. Step 2: Convert to fraction form
    55,825.50/77,020.12 = 34,597.02/x
  3. Step 3: Cross multiply
    55,825.50x = 77,020.12 × 34,597.02
  4. Step 4: Simplify right side
    55,825.50x = 2,664,666,632.04
  5. Step 5: Solve for x
    x = 2,664,666,632.04/55,825.50
  6. Step 6: Final answer
    x = 47,732.07

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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.