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Finding the Fourth Proportional to 82,591.68, 113,985.63 and 46,296.61

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Solution

The fourth proportional to 82,591.68, 113,985.63 and 46,296.61 is: 63,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,591.68 : 113,985.63 = 46,296.61 : x
  2. Step 2: Convert to fraction form
    82,591.68/113,985.63 = 46,296.61/x
  3. Step 3: Cross multiply
    82,591.68x = 113,985.63 × 46,296.61
  4. Step 4: Simplify right side
    82,591.68x = 5,277,148,257.71
  5. Step 5: Solve for x
    x = 5,277,148,257.71/82,591.68
  6. Step 6: Final answer
    x = 63,894.43

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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.