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Finding the Fourth Proportional to 82,322.84, 113,640.90 and 59,370.68

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Solution

The fourth proportional to 82,322.84, 113,640.90 and 59,370.68 is: 81,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,322.84 : 113,640.90 = 59,370.68 : x
  2. Step 2: Convert to fraction form
    82,322.84/113,640.90 = 59,370.68/x
  3. Step 3: Cross multiply
    82,322.84x = 113,640.90 × 59,370.68
  4. Step 4: Simplify right side
    82,322.84x = 6,746,937,508.81
  5. Step 5: Solve for x
    x = 6,746,937,508.81/82,322.84
  6. Step 6: Final answer
    x = 81,957.05

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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.