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Finding the Fourth Proportional to 51,741.84, 77,611.17 and 14,304.18

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Solution

The fourth proportional to 51,741.84, 77,611.17 and 14,304.18 is: 21,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,741.84 : 77,611.17 = 14,304.18 : x
  2. Step 2: Convert to fraction form
    51,741.84/77,611.17 = 14,304.18/x
  3. Step 3: Cross multiply
    51,741.84x = 77,611.17 × 14,304.18
  4. Step 4: Simplify right side
    51,741.84x = 1,110,164,145.69
  5. Step 5: Solve for x
    x = 1,110,164,145.69/51,741.84
  6. Step 6: Final answer
    x = 21,455.83

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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.