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Finding the Fourth Proportional to 34,491.02, 51,728.32 and 9,530.51

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Solution

The fourth proportional to 34,491.02, 51,728.32 and 9,530.51 is: 14,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491.02 : 51,728.32 = 9,530.51 : x
  2. Step 2: Convert to fraction form
    34,491.02/51,728.32 = 9,530.51/x
  3. Step 3: Cross multiply
    34,491.02x = 51,728.32 × 9,530.51
  4. Step 4: Simplify right side
    34,491.02x = 492,997,315.29
  5. Step 5: Solve for x
    x = 492,997,315.29/34,491.02
  6. Step 6: Final answer
    x = 14,293.50

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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.