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Finding the Fourth Proportional to 82,038.12, 113,213.13 and 48,066.72

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Solution

The fourth proportional to 82,038.12, 113,213.13 and 48,066.72 is: 66,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,038.12 : 113,213.13 = 48,066.72 : x
  2. Step 2: Convert to fraction form
    82,038.12/113,213.13 = 48,066.72/x
  3. Step 3: Cross multiply
    82,038.12x = 113,213.13 × 48,066.72
  4. Step 4: Simplify right side
    82,038.12x = 5,441,783,820.03
  5. Step 5: Solve for x
    x = 5,441,783,820.03/82,038.12
  6. Step 6: Final answer
    x = 66,332.38

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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.