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Finding the Fourth Proportional to 55,583, 76,704.08 and 30,088.84

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Solution

The fourth proportional to 55,583, 76,704.08 and 30,088.84 is: 41,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,583 : 76,704.08 = 30,088.84 : x
  2. Step 2: Convert to fraction form
    55,583/76,704.08 = 30,088.84/x
  3. Step 3: Cross multiply
    55,583x = 76,704.08 × 30,088.84
  4. Step 4: Simplify right side
    55,583x = 2,307,936,790.47
  5. Step 5: Solve for x
    x = 2,307,936,790.47/55,583
  6. Step 6: Final answer
    x = 41,522.35

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1.5x scale

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.