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Finding the Fourth Proportional to 96,575.80, 144,895.26 and 46,661.64

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Solution

The fourth proportional to 96,575.80, 144,895.26 and 46,661.64 is: 70,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,575.80 : 144,895.26 = 46,661.64 : x
  2. Step 2: Convert to fraction form
    96,575.80/144,895.26 = 46,661.64/x
  3. Step 3: Cross multiply
    96,575.80x = 144,895.26 × 46,661.64
  4. Step 4: Simplify right side
    96,575.80x = 6,761,050,459.83
  5. Step 5: Solve for x
    x = 6,761,050,459.83/96,575.80
  6. Step 6: Final answer
    x = 70,007.71

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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.