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Finding the Fourth Proportional to 50,464.48, 69,641 and 29,256.06

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Solution

The fourth proportional to 50,464.48, 69,641 and 29,256.06 is: 40,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,464.48 : 69,641 = 29,256.06 : x
  2. Step 2: Convert to fraction form
    50,464.48/69,641 = 29,256.06/x
  3. Step 3: Cross multiply
    50,464.48x = 69,641 × 29,256.06
  4. Step 4: Simplify right side
    50,464.48x = 2,037,421,274.46
  5. Step 5: Solve for x
    x = 2,037,421,274.46/50,464.48
  6. Step 6: Final answer
    x = 40,373.37

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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.