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Finding the Fourth Proportional to 34,880.66, 52,313.10 and 9,920.14

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Solution

The fourth proportional to 34,880.66, 52,313.10 and 9,920.14 is: 14,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,880.66 : 52,313.10 = 9,920.14 : x
  2. Step 2: Convert to fraction form
    34,880.66/52,313.10 = 9,920.14/x
  3. Step 3: Cross multiply
    34,880.66x = 52,313.10 × 9,920.14
  4. Step 4: Simplify right side
    34,880.66x = 518,953,275.83
  5. Step 5: Solve for x
    x = 518,953,275.83/34,880.66
  6. Step 6: Final answer
    x = 14,877.97

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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.