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Finding the Fourth Proportional to 96,138.65, 132,670.55 and 53,118

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Solution

The fourth proportional to 96,138.65, 132,670.55 and 53,118 is: 73,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,138.65 : 132,670.55 = 53,118 : x
  2. Step 2: Convert to fraction form
    96,138.65/132,670.55 = 53,118/x
  3. Step 3: Cross multiply
    96,138.65x = 132,670.55 × 53,118
  4. Step 4: Simplify right side
    96,138.65x = 7,047,194,274.90
  5. Step 5: Solve for x
    x = 7,047,194,274.90/96,138.65
  6. Step 6: Final answer
    x = 73,302.41

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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.