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Finding the Fourth Proportional to 56,932.84, 85,284.87 and 28,383.76

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Solution

The fourth proportional to 56,932.84, 85,284.87 and 28,383.76 is: 42,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,932.84 : 85,284.87 = 28,383.76 : x
  2. Step 2: Convert to fraction form
    56,932.84/85,284.87 = 28,383.76/x
  3. Step 3: Cross multiply
    56,932.84x = 85,284.87 × 28,383.76
  4. Step 4: Simplify right side
    56,932.84x = 2,420,705,281.71
  5. Step 5: Solve for x
    x = 2,420,705,281.71/56,932.84
  6. Step 6: Final answer
    x = 42,518.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.