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Finding the Fourth Proportional to 40,410.09, 55,762.17 and 23,415

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Solution

The fourth proportional to 40,410.09, 55,762.17 and 23,415 is: 32,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,410.09 : 55,762.17 = 23,415 : x
  2. Step 2: Convert to fraction form
    40,410.09/55,762.17 = 23,415/x
  3. Step 3: Cross multiply
    40,410.09x = 55,762.17 × 23,415
  4. Step 4: Simplify right side
    40,410.09x = 1,305,671,210.55
  5. Step 5: Solve for x
    x = 1,305,671,210.55/40,410.09
  6. Step 6: Final answer
    x = 32,310.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.