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Finding the Fourth Proportional to 34,894.16, 52,341.84 and 9,934.84

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Solution

The fourth proportional to 34,894.16, 52,341.84 and 9,934.84 is: 14,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,894.16 : 52,341.84 = 9,934.84 : x
  2. Step 2: Convert to fraction form
    34,894.16/52,341.84 = 9,934.84/x
  3. Step 3: Cross multiply
    34,894.16x = 52,341.84 × 9,934.84
  4. Step 4: Simplify right side
    34,894.16x = 520,007,805.71
  5. Step 5: Solve for x
    x = 520,007,805.71/34,894.16
  6. Step 6: Final answer
    x = 14,902.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.