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Finding the Fourth Proportional to 34,703.56, 52,076.16 and 14,982.09

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Solution

The fourth proportional to 34,703.56, 52,076.16 and 14,982.09 is: 22,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,703.56 : 52,076.16 = 14,982.09 : x
  2. Step 2: Convert to fraction form
    34,703.56/52,076.16 = 14,982.09/x
  3. Step 3: Cross multiply
    34,703.56x = 52,076.16 × 14,982.09
  4. Step 4: Simplify right side
    34,703.56x = 780,209,981.15
  5. Step 5: Solve for x
    x = 780,209,981.15/34,703.56
  6. Step 6: Final answer
    x = 22,482.13

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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.