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Finding the Fourth Proportional to 30,751.71, 46,133.70 and 11,031.79

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Solution

The fourth proportional to 30,751.71, 46,133.70 and 11,031.79 is: 16,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.71 : 46,133.70 = 11,031.79 : x
  2. Step 2: Convert to fraction form
    30,751.71/46,133.70 = 11,031.79/x
  3. Step 3: Cross multiply
    30,751.71x = 46,133.70 × 11,031.79
  4. Step 4: Simplify right side
    30,751.71x = 508,937,059.65
  5. Step 5: Solve for x
    x = 508,937,059.65/30,751.71
  6. Step 6: Final answer
    x = 16,549.88

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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.