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Finding the Fourth Proportional to 34,483.59, 51,710.81 and 10,784.78

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Solution

The fourth proportional to 34,483.59, 51,710.81 and 10,784.78 is: 16,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,483.59 : 51,710.81 = 10,784.78 : x
  2. Step 2: Convert to fraction form
    34,483.59/51,710.81 = 10,784.78/x
  3. Step 3: Cross multiply
    34,483.59x = 51,710.81 × 10,784.78
  4. Step 4: Simplify right side
    34,483.59x = 557,689,396.99
  5. Step 5: Solve for x
    x = 557,689,396.99/34,483.59
  6. Step 6: Final answer
    x = 16,172.60

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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.