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Finding the Fourth Proportional to 82,187.74, 113,420.01 and 46,378.18

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Solution

The fourth proportional to 82,187.74, 113,420.01 and 46,378.18 is: 64,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,187.74 : 113,420.01 = 46,378.18 : x
  2. Step 2: Convert to fraction form
    82,187.74/113,420.01 = 46,378.18/x
  3. Step 3: Cross multiply
    82,187.74x = 113,420.01 × 46,378.18
  4. Step 4: Simplify right side
    82,187.74x = 5,260,213,639.38
  5. Step 5: Solve for x
    x = 5,260,213,639.38/82,187.74
  6. Step 6: Final answer
    x = 64,002.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.