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Finding the Fourth Proportional to 50,478.22, 69,657.45 and 29,264.38

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Solution

The fourth proportional to 50,478.22, 69,657.45 and 29,264.38 is: 40,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,478.22 : 69,657.45 = 29,264.38 : x
  2. Step 2: Convert to fraction form
    50,478.22/69,657.45 = 29,264.38/x
  3. Step 3: Cross multiply
    50,478.22x = 69,657.45 × 29,264.38
  4. Step 4: Simplify right side
    50,478.22x = 2,038,482,086.63
  5. Step 5: Solve for x
    x = 2,038,482,086.63/50,478.22
  6. Step 6: Final answer
    x = 40,383.40

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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.