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Finding the Fourth Proportional to 96,358.64, 132,978.65 and 53,916.26

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Solution

The fourth proportional to 96,358.64, 132,978.65 and 53,916.26 is: 74,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,358.64 : 132,978.65 = 53,916.26 : x
  2. Step 2: Convert to fraction form
    96,358.64/132,978.65 = 53,916.26/x
  3. Step 3: Cross multiply
    96,358.64x = 132,978.65 × 53,916.26
  4. Step 4: Simplify right side
    96,358.64x = 7,169,710,533.37
  5. Step 5: Solve for x
    x = 7,169,710,533.37/96,358.64
  6. Step 6: Final answer
    x = 74,406.52

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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.