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Finding the Fourth Proportional to 34,874.65, 52,304.10 and 9,914.15

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Solution

The fourth proportional to 34,874.65, 52,304.10 and 9,914.15 is: 14,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,874.65 : 52,304.10 = 9,914.15 : x
  2. Step 2: Convert to fraction form
    34,874.65/52,304.10 = 9,914.15/x
  3. Step 3: Cross multiply
    34,874.65x = 52,304.10 × 9,914.15
  4. Step 4: Simplify right side
    34,874.65x = 518,550,492.39
  5. Step 5: Solve for x
    x = 518,550,492.39/34,874.65
  6. Step 6: Final answer
    x = 14,868.98

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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.