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Finding the Fourth Proportional to 77,706.12, 116,559 and 33,304.08

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Solution

The fourth proportional to 77,706.12, 116,559 and 33,304.08 is: 49,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,706.12 : 116,559 = 33,304.08 : x
  2. Step 2: Convert to fraction form
    77,706.12/116,559 = 33,304.08/x
  3. Step 3: Cross multiply
    77,706.12x = 116,559 × 33,304.08
  4. Step 4: Simplify right side
    77,706.12x = 3,881,890,260.72
  5. Step 5: Solve for x
    x = 3,881,890,260.72/77,706.12
  6. Step 6: Final answer
    x = 49,956.04

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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.