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Finding the Fourth Proportional to 34,356.12, 51,534 and 10,977

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Solution

The fourth proportional to 34,356.12, 51,534 and 10,977 is: 16,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,356.12 : 51,534 = 10,977 : x
  2. Step 2: Convert to fraction form
    34,356.12/51,534 = 10,977/x
  3. Step 3: Cross multiply
    34,356.12x = 51,534 × 10,977
  4. Step 4: Simplify right side
    34,356.12x = 565,688,718
  5. Step 5: Solve for x
    x = 565,688,718/34,356.12
  6. Step 6: Final answer
    x = 16,465.44

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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.