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Finding the Fourth Proportional to 30,497.16, 45,751.31 and 9,435.77

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Solution

The fourth proportional to 30,497.16, 45,751.31 and 9,435.77 is: 14,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.16 : 45,751.31 = 9,435.77 : x
  2. Step 2: Convert to fraction form
    30,497.16/45,751.31 = 9,435.77/x
  3. Step 3: Cross multiply
    30,497.16x = 45,751.31 × 9,435.77
  4. Step 4: Simplify right side
    30,497.16x = 431,698,791.18
  5. Step 5: Solve for x
    x = 431,698,791.18/30,497.16
  6. Step 6: Final answer
    x = 14,155.38

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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.