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Finding the Fourth Proportional to 76,205.52, 105,214.98 and 47,568.81

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Solution

The fourth proportional to 76,205.52, 105,214.98 and 47,568.81 is: 65,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,205.52 : 105,214.98 = 47,568.81 : x
  2. Step 2: Convert to fraction form
    76,205.52/105,214.98 = 47,568.81/x
  3. Step 3: Cross multiply
    76,205.52x = 105,214.98 × 47,568.81
  4. Step 4: Simplify right side
    76,205.52x = 5,004,951,392.77
  5. Step 5: Solve for x
    x = 5,004,951,392.77/76,205.52
  6. Step 6: Final answer
    x = 65,677.02

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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.