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Finding the Fourth Proportional to 40,232.16, 55,512 and 24,313.50

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Solution

The fourth proportional to 40,232.16, 55,512 and 24,313.50 is: 33,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,232.16 : 55,512 = 24,313.50 : x
  2. Step 2: Convert to fraction form
    40,232.16/55,512 = 24,313.50/x
  3. Step 3: Cross multiply
    40,232.16x = 55,512 × 24,313.50
  4. Step 4: Simplify right side
    40,232.16x = 1,349,691,012
  5. Step 5: Solve for x
    x = 1,349,691,012/40,232.16
  6. Step 6: Final answer
    x = 33,547.57

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Why These Related Problems?

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