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Finding the Fourth Proportional to 30,672.74, 46,009.06 and 9,614.41

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Solution

The fourth proportional to 30,672.74, 46,009.06 and 9,614.41 is: 14,421.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672.74 : 46,009.06 = 9,614.41 : x
  2. Step 2: Convert to fraction form
    30,672.74/46,009.06 = 9,614.41/x
  3. Step 3: Cross multiply
    30,672.74x = 46,009.06 × 9,614.41
  4. Step 4: Simplify right side
    30,672.74x = 442,349,827.50
  5. Step 5: Solve for x
    x = 442,349,827.50/30,672.74
  6. Step 6: Final answer
    x = 14,421.59

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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.