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Finding the Fourth Proportional to 82,785.30, 114,253.43 and 46,492.71

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Solution

The fourth proportional to 82,785.30, 114,253.43 and 46,492.71 is: 64,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,785.30 : 114,253.43 = 46,492.71 : x
  2. Step 2: Convert to fraction form
    82,785.30/114,253.43 = 46,492.71/x
  3. Step 3: Cross multiply
    82,785.30x = 114,253.43 × 46,492.71
  4. Step 4: Simplify right side
    82,785.30x = 5,311,951,587.50
  5. Step 5: Solve for x
    x = 5,311,951,587.50/82,785.30
  6. Step 6: Final answer
    x = 64,165.40

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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.