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Finding the Fourth Proportional to 82,425, 113,746.56 and 44,699.40

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Solution

The fourth proportional to 82,425, 113,746.56 and 44,699.40 is: 61,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,425 : 113,746.56 = 44,699.40 : x
  2. Step 2: Convert to fraction form
    82,425/113,746.56 = 44,699.40/x
  3. Step 3: Cross multiply
    82,425x = 113,746.56 × 44,699.40
  4. Step 4: Simplify right side
    82,425x = 5,084,402,984.06
  5. Step 5: Solve for x
    x = 5,084,402,984.06/82,425
  6. Step 6: Final answer
    x = 61,685.20

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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.