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Finding the Fourth Proportional to 82,135.84, 113,347.30 and 46,325.74

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Solution

The fourth proportional to 82,135.84, 113,347.30 and 46,325.74 is: 63,929.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,135.84 : 113,347.30 = 46,325.74 : x
  2. Step 2: Convert to fraction form
    82,135.84/113,347.30 = 46,325.74/x
  3. Step 3: Cross multiply
    82,135.84x = 113,347.30 × 46,325.74
  4. Step 4: Simplify right side
    82,135.84x = 5,250,897,549.50
  5. Step 5: Solve for x
    x = 5,250,897,549.50/82,135.84
  6. Step 6: Final answer
    x = 63,929.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.