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Finding the Fourth Proportional to 64,124.40, 96,172.02 and 30,823.68

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Solution

The fourth proportional to 64,124.40, 96,172.02 and 30,823.68 is: 46,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,124.40 : 96,172.02 = 30,823.68 : x
  2. Step 2: Convert to fraction form
    64,124.40/96,172.02 = 30,823.68/x
  3. Step 3: Cross multiply
    64,124.40x = 96,172.02 × 30,823.68
  4. Step 4: Simplify right side
    64,124.40x = 2,964,375,569.43
  5. Step 5: Solve for x
    x = 2,964,375,569.43/64,124.40
  6. Step 6: Final answer
    x = 46,228.51

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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.