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Finding the Fourth Proportional to 30,810.73, 46,221.81 and 9,756.10

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Solution

The fourth proportional to 30,810.73, 46,221.81 and 9,756.10 is: 14,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810.73 : 46,221.81 = 9,756.10 : x
  2. Step 2: Convert to fraction form
    30,810.73/46,221.81 = 9,756.10/x
  3. Step 3: Cross multiply
    30,810.73x = 46,221.81 × 9,756.10
  4. Step 4: Simplify right side
    30,810.73x = 450,944,600.54
  5. Step 5: Solve for x
    x = 450,944,600.54/30,810.73
  6. Step 6: Final answer
    x = 14,635.96

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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.