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Finding the Fourth Proportional to 55,506, 76,598.56 and 30,355.44

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Solution

The fourth proportional to 55,506, 76,598.56 and 30,355.44 is: 41,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,506 : 76,598.56 = 30,355.44 : x
  2. Step 2: Convert to fraction form
    55,506/76,598.56 = 30,355.44/x
  3. Step 3: Cross multiply
    55,506x = 76,598.56 × 30,355.44
  4. Step 4: Simplify right side
    55,506x = 2,325,182,992.17
  5. Step 5: Solve for x
    x = 2,325,182,992.17/55,506
  6. Step 6: Final answer
    x = 41,890.66

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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.