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Finding the Fourth Proportional to 82,133.15, 113,343.44 and 46,322.93

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Solution

The fourth proportional to 82,133.15, 113,343.44 and 46,322.93 is: 63,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,133.15 : 113,343.44 = 46,322.93 : x
  2. Step 2: Convert to fraction form
    82,133.15/113,343.44 = 46,322.93/x
  3. Step 3: Cross multiply
    82,133.15x = 113,343.44 × 46,322.93
  4. Step 4: Simplify right side
    82,133.15x = 5,250,400,288.82
  5. Step 5: Solve for x
    x = 5,250,400,288.82/82,133.15
  6. Step 6: Final answer
    x = 63,925.47

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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.