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Finding the Fourth Proportional to 96,866.88, 145,308.72 and 26,746.24

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Solution

The fourth proportional to 96,866.88, 145,308.72 and 26,746.24 is: 40,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,866.88 : 145,308.72 = 26,746.24 : x
  2. Step 2: Convert to fraction form
    96,866.88/145,308.72 = 26,746.24/x
  3. Step 3: Cross multiply
    96,866.88x = 145,308.72 × 26,746.24
  4. Step 4: Simplify right side
    96,866.88x = 3,886,461,899.21
  5. Step 5: Solve for x
    x = 3,886,461,899.21/96,866.88
  6. Step 6: Final answer
    x = 40,121.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.