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Finding the Fourth Proportional to 82,562.84, 113,938.06 and 46,751.92

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Solution

The fourth proportional to 82,562.84, 113,938.06 and 46,751.92 is: 64,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,562.84 : 113,938.06 = 46,751.92 : x
  2. Step 2: Convert to fraction form
    82,562.84/113,938.06 = 46,751.92/x
  3. Step 3: Cross multiply
    82,562.84x = 113,938.06 × 46,751.92
  4. Step 4: Simplify right side
    82,562.84x = 5,326,823,066.08
  5. Step 5: Solve for x
    x = 5,326,823,066.08/82,562.84
  6. Step 6: Final answer
    x = 64,518.41

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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.