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Finding the Fourth Proportional to 82,938.84, 114,461.10 and 47,128.92

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Solution

The fourth proportional to 82,938.84, 114,461.10 and 47,128.92 is: 65,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,938.84 : 114,461.10 = 47,128.92 : x
  2. Step 2: Convert to fraction form
    82,938.84/114,461.10 = 47,128.92/x
  3. Step 3: Cross multiply
    82,938.84x = 114,461.10 × 47,128.92
  4. Step 4: Simplify right side
    82,938.84x = 5,394,428,025.01
  5. Step 5: Solve for x
    x = 5,394,428,025.01/82,938.84
  6. Step 6: Final answer
    x = 65,041.04

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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.