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Finding the Fourth Proportional to 53,540.64, 73,920.74 and 34,429

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Solution

The fourth proportional to 53,540.64, 73,920.74 and 34,429 is: 47,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,540.64 : 73,920.74 = 34,429 : x
  2. Step 2: Convert to fraction form
    53,540.64/73,920.74 = 34,429/x
  3. Step 3: Cross multiply
    53,540.64x = 73,920.74 × 34,429
  4. Step 4: Simplify right side
    53,540.64x = 2,545,017,157.46
  5. Step 5: Solve for x
    x = 2,545,017,157.46/53,540.64
  6. Step 6: Final answer
    x = 47,534.31

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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.