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Finding the Fourth Proportional to 34,894.32, 52,341.80 and 9,934.35

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Solution

The fourth proportional to 34,894.32, 52,341.80 and 9,934.35 is: 14,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,894.32 : 52,341.80 = 9,934.35 : x
  2. Step 2: Convert to fraction form
    34,894.32/52,341.80 = 9,934.35/x
  3. Step 3: Cross multiply
    34,894.32x = 52,341.80 × 9,934.35
  4. Step 4: Simplify right side
    34,894.32x = 519,981,514.88
  5. Step 5: Solve for x
    x = 519,981,514.88/34,894.32
  6. Step 6: Final answer
    x = 14,901.61

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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.