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Finding the Fourth Proportional to 34,730, 52,097.58 and 13,953.56

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Solution

The fourth proportional to 34,730, 52,097.58 and 13,953.56 is: 20,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,730 : 52,097.58 = 13,953.56 : x
  2. Step 2: Convert to fraction form
    34,730/52,097.58 = 13,953.56/x
  3. Step 3: Cross multiply
    34,730x = 52,097.58 × 13,953.56
  4. Step 4: Simplify right side
    34,730x = 726,946,708.38
  5. Step 5: Solve for x
    x = 726,946,708.38/34,730
  6. Step 6: Final answer
    x = 20,931.38

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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.