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Finding the Fourth Proportional to 76,705.20, 105,852.96 and 43,171.20

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Solution

The fourth proportional to 76,705.20, 105,852.96 and 43,171.20 is: 59,576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,705.20 : 105,852.96 = 43,171.20 : x
  2. Step 2: Convert to fraction form
    76,705.20/105,852.96 = 43,171.20/x
  3. Step 3: Cross multiply
    76,705.20x = 105,852.96 × 43,171.20
  4. Step 4: Simplify right side
    76,705.20x = 4,569,799,306.75
  5. Step 5: Solve for x
    x = 4,569,799,306.75/76,705.20
  6. Step 6: Final answer
    x = 59,576.13

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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.