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Finding the Fourth Proportional to 30,725.98, 46,098.54 and 11,004.71

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Solution

The fourth proportional to 30,725.98, 46,098.54 and 11,004.71 is: 16,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.98 : 46,098.54 = 11,004.71 : x
  2. Step 2: Convert to fraction form
    30,725.98/46,098.54 = 11,004.71/x
  3. Step 3: Cross multiply
    30,725.98x = 46,098.54 × 11,004.71
  4. Step 4: Simplify right side
    30,725.98x = 507,300,921.37
  5. Step 5: Solve for x
    x = 507,300,921.37/30,725.98
  6. Step 6: Final answer
    x = 16,510.49

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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.