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Finding the Fourth Proportional to 82,646.88, 114,078.48 and 48,652.70

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Solution

The fourth proportional to 82,646.88, 114,078.48 and 48,652.70 is: 67,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,646.88 : 114,078.48 = 48,652.70 : x
  2. Step 2: Convert to fraction form
    82,646.88/114,078.48 = 48,652.70/x
  3. Step 3: Cross multiply
    82,646.88x = 114,078.48 × 48,652.70
  4. Step 4: Simplify right side
    82,646.88x = 5,550,225,952.75
  5. Step 5: Solve for x
    x = 5,550,225,952.75/82,646.88
  6. Step 6: Final answer
    x = 67,155.90

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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.