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Finding the Fourth Proportional to 30,751.62, 46,134.32 and 9,406.10

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Solution

The fourth proportional to 30,751.62, 46,134.32 and 9,406.10 is: 14,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.62 : 46,134.32 = 9,406.10 : x
  2. Step 2: Convert to fraction form
    30,751.62/46,134.32 = 9,406.10/x
  3. Step 3: Cross multiply
    30,751.62x = 46,134.32 × 9,406.10
  4. Step 4: Simplify right side
    30,751.62x = 433,943,749.65
  5. Step 5: Solve for x
    x = 433,943,749.65/30,751.62
  6. Step 6: Final answer
    x = 14,111.25

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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.