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Finding the Fourth Proportional to 82,332.12, 113,612.37 and 48,342

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Solution

The fourth proportional to 82,332.12, 113,612.37 and 48,342 is: 66,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,332.12 : 113,612.37 = 48,342 : x
  2. Step 2: Convert to fraction form
    82,332.12/113,612.37 = 48,342/x
  3. Step 3: Cross multiply
    82,332.12x = 113,612.37 × 48,342
  4. Step 4: Simplify right side
    82,332.12x = 5,492,249,190.54
  5. Step 5: Solve for x
    x = 5,492,249,190.54/82,332.12
  6. Step 6: Final answer
    x = 66,708.46

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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.