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Finding the Fourth Proportional to 55,123.84, 82,590.66 and 30,181.84

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Solution

The fourth proportional to 55,123.84, 82,590.66 and 30,181.84 is: 45,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,123.84 : 82,590.66 = 30,181.84 : x
  2. Step 2: Convert to fraction form
    55,123.84/82,590.66 = 30,181.84/x
  3. Step 3: Cross multiply
    55,123.84x = 82,590.66 × 30,181.84
  4. Step 4: Simplify right side
    55,123.84x = 2,492,738,085.61
  5. Step 5: Solve for x
    x = 2,492,738,085.61/55,123.84
  6. Step 6: Final answer
    x = 45,220.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.