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Finding the Fourth Proportional to 55,230.84, 82,832.28 and 15,788.16

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Solution

The fourth proportional to 55,230.84, 82,832.28 and 15,788.16 is: 23,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,230.84 : 82,832.28 = 15,788.16 : x
  2. Step 2: Convert to fraction form
    55,230.84/82,832.28 = 15,788.16/x
  3. Step 3: Cross multiply
    55,230.84x = 82,832.28 × 15,788.16
  4. Step 4: Simplify right side
    55,230.84x = 1,307,769,289.80
  5. Step 5: Solve for x
    x = 1,307,769,289.80/55,230.84
  6. Step 6: Final answer
    x = 23,678.24

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1.5x scale

Why These Related Problems?

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