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Finding the Fourth Proportional to 82,434.95, 113,760.24 and 46,624.20

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Solution

The fourth proportional to 82,434.95, 113,760.24 and 46,624.20 is: 64,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,434.95 : 113,760.24 = 46,624.20 : x
  2. Step 2: Convert to fraction form
    82,434.95/113,760.24 = 46,624.20/x
  3. Step 3: Cross multiply
    82,434.95x = 113,760.24 × 46,624.20
  4. Step 4: Simplify right side
    82,434.95x = 5,303,980,181.81
  5. Step 5: Solve for x
    x = 5,303,980,181.81/82,434.95
  6. Step 6: Final answer
    x = 64,341.40

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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.