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Finding the Fourth Proportional to 82,132.84, 113,343.16 and 46,322.74

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Solution

The fourth proportional to 82,132.84, 113,343.16 and 46,322.74 is: 63,925.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,132.84 : 113,343.16 = 46,322.74 : x
  2. Step 2: Convert to fraction form
    82,132.84/113,343.16 = 46,322.74/x
  3. Step 3: Cross multiply
    82,132.84x = 113,343.16 × 46,322.74
  4. Step 4: Simplify right side
    82,132.84x = 5,250,365,731.46
  5. Step 5: Solve for x
    x = 5,250,365,731.46/82,132.84
  6. Step 6: Final answer
    x = 63,925.29

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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.