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Finding the Fourth Proportional to 82,139.72, 113,356.77 and 46,328.91

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Solution

The fourth proportional to 82,139.72, 113,356.77 and 46,328.91 is: 63,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,139.72 : 113,356.77 = 46,328.91 : x
  2. Step 2: Convert to fraction form
    82,139.72/113,356.77 = 46,328.91/x
  3. Step 3: Cross multiply
    82,139.72x = 113,356.77 × 46,328.91
  4. Step 4: Simplify right side
    82,139.72x = 5,251,695,421.49
  5. Step 5: Solve for x
    x = 5,251,695,421.49/82,139.72
  6. Step 6: Final answer
    x = 63,936.13

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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.