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Finding the Fourth Proportional to 55,506.04, 76,598.94 and 30,355

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Solution

The fourth proportional to 55,506.04, 76,598.94 and 30,355 is: 41,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,506.04 : 76,598.94 = 30,355 : x
  2. Step 2: Convert to fraction form
    55,506.04/76,598.94 = 30,355/x
  3. Step 3: Cross multiply
    55,506.04x = 76,598.94 × 30,355
  4. Step 4: Simplify right side
    55,506.04x = 2,325,160,823.70
  5. Step 5: Solve for x
    x = 2,325,160,823.70/55,506.04
  6. Step 6: Final answer
    x = 41,890.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.