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Finding the Fourth Proportional to 96,464.65, 144,746.37 and 45,920.88

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Solution

The fourth proportional to 96,464.65, 144,746.37 and 45,920.88 is: 68,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,464.65 : 144,746.37 = 45,920.88 : x
  2. Step 2: Convert to fraction form
    96,464.65/144,746.37 = 45,920.88/x
  3. Step 3: Cross multiply
    96,464.65x = 144,746.37 × 45,920.88
  4. Step 4: Simplify right side
    96,464.65x = 6,646,879,848.67
  5. Step 5: Solve for x
    x = 6,646,879,848.67/96,464.65
  6. Step 6: Final answer
    x = 68,904.83

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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.