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Finding the Fourth Proportional to 50,547.96, 69,770.04 and 29,334

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Solution

The fourth proportional to 50,547.96, 69,770.04 and 29,334 is: 40,488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,547.96 : 69,770.04 = 29,334 : x
  2. Step 2: Convert to fraction form
    50,547.96/69,770.04 = 29,334/x
  3. Step 3: Cross multiply
    50,547.96x = 69,770.04 × 29,334
  4. Step 4: Simplify right side
    50,547.96x = 2,046,634,353.36
  5. Step 5: Solve for x
    x = 2,046,634,353.36/50,547.96
  6. Step 6: Final answer
    x = 40,488.96

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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.