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Finding the Fourth Proportional to 96,161.76, 132,698.88 and 53,712

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Solution

The fourth proportional to 96,161.76, 132,698.88 and 53,712 is: 74,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,161.76 : 132,698.88 = 53,712 : x
  2. Step 2: Convert to fraction form
    96,161.76/132,698.88 = 53,712/x
  3. Step 3: Cross multiply
    96,161.76x = 132,698.88 × 53,712
  4. Step 4: Simplify right side
    96,161.76x = 7,127,522,242.56
  5. Step 5: Solve for x
    x = 7,127,522,242.56/96,161.76
  6. Step 6: Final answer
    x = 74,120.13

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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.