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Finding the Fourth Proportional to 82,513.61, 113,876.04 and 46,214.49

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Solution

The fourth proportional to 82,513.61, 113,876.04 and 46,214.49 is: 63,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,513.61 : 113,876.04 = 46,214.49 : x
  2. Step 2: Convert to fraction form
    82,513.61/113,876.04 = 46,214.49/x
  3. Step 3: Cross multiply
    82,513.61x = 113,876.04 × 46,214.49
  4. Step 4: Simplify right side
    82,513.61x = 5,262,723,111.82
  5. Step 5: Solve for x
    x = 5,262,723,111.82/82,513.61
  6. Step 6: Final answer
    x = 63,780.06

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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.