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Finding the Fourth Proportional to 34,880.54, 52,314.80 and 9,914.76

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Solution

The fourth proportional to 34,880.54, 52,314.80 and 9,914.76 is: 14,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,880.54 : 52,314.80 = 9,914.76 : x
  2. Step 2: Convert to fraction form
    34,880.54/52,314.80 = 9,914.76/x
  3. Step 3: Cross multiply
    34,880.54x = 52,314.80 × 9,914.76
  4. Step 4: Simplify right side
    34,880.54x = 518,688,636.87
  5. Step 5: Solve for x
    x = 518,688,636.87/34,880.54
  6. Step 6: Final answer
    x = 14,870.43

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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.