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Finding the Fourth Proportional to 82,963.68, 114,492.24 and 45,240

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Solution

The fourth proportional to 82,963.68, 114,492.24 and 45,240 is: 62,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,963.68 : 114,492.24 = 45,240 : x
  2. Step 2: Convert to fraction form
    82,963.68/114,492.24 = 45,240/x
  3. Step 3: Cross multiply
    82,963.68x = 114,492.24 × 45,240
  4. Step 4: Simplify right side
    82,963.68x = 5,179,628,937.60
  5. Step 5: Solve for x
    x = 5,179,628,937.60/82,963.68
  6. Step 6: Final answer
    x = 62,432.49

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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.