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Finding the Fourth Proportional to 82,425.28, 113,746.32 and 44,699.50

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Solution

The fourth proportional to 82,425.28, 113,746.32 and 44,699.50 is: 61,685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,425.28 : 113,746.32 = 44,699.50 : x
  2. Step 2: Convert to fraction form
    82,425.28/113,746.32 = 44,699.50/x
  3. Step 3: Cross multiply
    82,425.28x = 113,746.32 × 44,699.50
  4. Step 4: Simplify right side
    82,425.28x = 5,084,403,630.84
  5. Step 5: Solve for x
    x = 5,084,403,630.84/82,425.28
  6. Step 6: Final answer
    x = 61,685.00

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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.