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Finding the Fourth Proportional to 34,894.51, 52,342.08 and 9,934.54

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Solution

The fourth proportional to 34,894.51, 52,342.08 and 9,934.54 is: 14,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,894.51 : 52,342.08 = 9,934.54 : x
  2. Step 2: Convert to fraction form
    34,894.51/52,342.08 = 9,934.54/x
  3. Step 3: Cross multiply
    34,894.51x = 52,342.08 × 9,934.54
  4. Step 4: Simplify right side
    34,894.51x = 519,994,319.33
  5. Step 5: Solve for x
    x = 519,994,319.33/34,894.51
  6. Step 6: Final answer
    x = 14,901.90

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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.