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Finding the Fourth Proportional to 85,182, 117,546.27 and 48,875.76

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Solution

The fourth proportional to 85,182, 117,546.27 and 48,875.76 is: 67,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,182 : 117,546.27 = 48,875.76 : x
  2. Step 2: Convert to fraction form
    85,182/117,546.27 = 48,875.76/x
  3. Step 3: Cross multiply
    85,182x = 117,546.27 × 48,875.76
  4. Step 4: Simplify right side
    85,182x = 5,745,163,281.42
  5. Step 5: Solve for x
    x = 5,745,163,281.42/85,182
  6. Step 6: Final answer
    x = 67,445.74

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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.