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Finding the Fourth Proportional to 51,394.50, 70,924.41 and 29,038.50

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Solution

The fourth proportional to 51,394.50, 70,924.41 and 29,038.50 is: 40,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,394.50 : 70,924.41 = 29,038.50 : x
  2. Step 2: Convert to fraction form
    51,394.50/70,924.41 = 29,038.50/x
  3. Step 3: Cross multiply
    51,394.50x = 70,924.41 × 29,038.50
  4. Step 4: Simplify right side
    51,394.50x = 2,059,538,479.79
  5. Step 5: Solve for x
    x = 2,059,538,479.79/51,394.50
  6. Step 6: Final answer
    x = 40,073.13

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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.