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Finding the Fourth Proportional to 64,389.20, 96,583.80 and 31,134.80

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Solution

The fourth proportional to 64,389.20, 96,583.80 and 31,134.80 is: 46,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,389.20 : 96,583.80 = 31,134.80 : x
  2. Step 2: Convert to fraction form
    64,389.20/96,583.80 = 31,134.80/x
  3. Step 3: Cross multiply
    64,389.20x = 96,583.80 × 31,134.80
  4. Step 4: Simplify right side
    64,389.20x = 3,007,117,296.24
  5. Step 5: Solve for x
    x = 3,007,117,296.24/64,389.20
  6. Step 6: Final answer
    x = 46,702.20

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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.