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Finding the Fourth Proportional to 55,635.84, 83,454.12 and 14,082.84

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Solution

The fourth proportional to 55,635.84, 83,454.12 and 14,082.84 is: 21,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,635.84 : 83,454.12 = 14,082.84 : x
  2. Step 2: Convert to fraction form
    55,635.84/83,454.12 = 14,082.84/x
  3. Step 3: Cross multiply
    55,635.84x = 83,454.12 × 14,082.84
  4. Step 4: Simplify right side
    55,635.84x = 1,175,271,019.30
  5. Step 5: Solve for x
    x = 1,175,271,019.30/55,635.84
  6. Step 6: Final answer
    x = 21,124.35

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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.