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Finding the Fourth Proportional to 82,874.76, 114,328.08 and 56,026.68

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Solution

The fourth proportional to 82,874.76, 114,328.08 and 56,026.68 is: 77,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,874.76 : 114,328.08 = 56,026.68 : x
  2. Step 2: Convert to fraction form
    82,874.76/114,328.08 = 56,026.68/x
  3. Step 3: Cross multiply
    82,874.76x = 114,328.08 × 56,026.68
  4. Step 4: Simplify right side
    82,874.76x = 6,405,422,753.17
  5. Step 5: Solve for x
    x = 6,405,422,753.17/82,874.76
  6. Step 6: Final answer
    x = 77,290.39

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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.