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Finding the Fourth Proportional to 81,829.68, 112,913.28 and 46,018.32

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Solution

The fourth proportional to 81,829.68, 112,913.28 and 46,018.32 is: 63,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,829.68 : 112,913.28 = 46,018.32 : x
  2. Step 2: Convert to fraction form
    81,829.68/112,913.28 = 46,018.32/x
  3. Step 3: Cross multiply
    81,829.68x = 112,913.28 × 46,018.32
  4. Step 4: Simplify right side
    81,829.68x = 5,196,079,451.29
  5. Step 5: Solve for x
    x = 5,196,079,451.29/81,829.68
  6. Step 6: Final answer
    x = 63,498.71

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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.