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Finding the Fourth Proportional to 96,232.48, 132,798.48 and 53,796

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Solution

The fourth proportional to 96,232.48, 132,798.48 and 53,796 is: 74,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,232.48 : 132,798.48 = 53,796 : x
  2. Step 2: Convert to fraction form
    96,232.48/132,798.48 = 53,796/x
  3. Step 3: Cross multiply
    96,232.48x = 132,798.48 × 53,796
  4. Step 4: Simplify right side
    96,232.48x = 7,144,027,030.08
  5. Step 5: Solve for x
    x = 7,144,027,030.08/96,232.48
  6. Step 6: Final answer
    x = 74,237.17

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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.