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Finding the Fourth Proportional to 64,104.16, 96,025.68 and 52,300

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Solution

The fourth proportional to 64,104.16, 96,025.68 and 52,300 is: 78,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,104.16 : 96,025.68 = 52,300 : x
  2. Step 2: Convert to fraction form
    64,104.16/96,025.68 = 52,300/x
  3. Step 3: Cross multiply
    64,104.16x = 96,025.68 × 52,300
  4. Step 4: Simplify right side
    64,104.16x = 5,022,143,064
  5. Step 5: Solve for x
    x = 5,022,143,064/64,104.16
  6. Step 6: Final answer
    x = 78,343.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.