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Finding the Fourth Proportional to 96,590.40, 144,655.20 and 47,284.80

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Solution

The fourth proportional to 96,590.40, 144,655.20 and 47,284.80 is: 70,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,590.40 : 144,655.20 = 47,284.80 : x
  2. Step 2: Convert to fraction form
    96,590.40/144,655.20 = 47,284.80/x
  3. Step 3: Cross multiply
    96,590.40x = 144,655.20 × 47,284.80
  4. Step 4: Simplify right side
    96,590.40x = 6,839,992,200.96
  5. Step 5: Solve for x
    x = 6,839,992,200.96/96,590.40
  6. Step 6: Final answer
    x = 70,814.41

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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.