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Finding the Fourth Proportional to 96,564.80, 144,847.20 and 46,683.20

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Solution

The fourth proportional to 96,564.80, 144,847.20 and 46,683.20 is: 70,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,564.80 : 144,847.20 = 46,683.20 : x
  2. Step 2: Convert to fraction form
    96,564.80/144,847.20 = 46,683.20/x
  3. Step 3: Cross multiply
    96,564.80x = 144,847.20 × 46,683.20
  4. Step 4: Simplify right side
    96,564.80x = 6,761,930,807.04
  5. Step 5: Solve for x
    x = 6,761,930,807.04/96,564.80
  6. Step 6: Final answer
    x = 70,024.80

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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.