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Finding the Fourth Proportional to 96,142.69, 132,676.18 and 53,125

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Solution

The fourth proportional to 96,142.69, 132,676.18 and 53,125 is: 73,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,142.69 : 132,676.18 = 53,125 : x
  2. Step 2: Convert to fraction form
    96,142.69/132,676.18 = 53,125/x
  3. Step 3: Cross multiply
    96,142.69x = 132,676.18 × 53,125
  4. Step 4: Simplify right side
    96,142.69x = 7,048,422,062.50
  5. Step 5: Solve for x
    x = 7,048,422,062.50/96,142.69
  6. Step 6: Final answer
    x = 73,312.10

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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.