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Finding the Fourth Proportional to 82,158.96, 113,384.60 and 46,335.88

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Solution

The fourth proportional to 82,158.96, 113,384.60 and 46,335.88 is: 63,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,158.96 : 113,384.60 = 46,335.88 : x
  2. Step 2: Convert to fraction form
    82,158.96/113,384.60 = 46,335.88/x
  3. Step 3: Cross multiply
    82,158.96x = 113,384.60 × 46,335.88
  4. Step 4: Simplify right side
    82,158.96x = 5,253,775,219.45
  5. Step 5: Solve for x
    x = 5,253,775,219.45/82,158.96
  6. Step 6: Final answer
    x = 63,946.47

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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.