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Finding the Fourth Proportional to 30,872.40, 46,308.58 and 7,498.68

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Solution

The fourth proportional to 30,872.40, 46,308.58 and 7,498.68 is: 11,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.40 : 46,308.58 = 7,498.68 : x
  2. Step 2: Convert to fraction form
    30,872.40/46,308.58 = 7,498.68/x
  3. Step 3: Cross multiply
    30,872.40x = 46,308.58 × 7,498.68
  4. Step 4: Simplify right side
    30,872.40x = 347,253,222.67
  5. Step 5: Solve for x
    x = 347,253,222.67/30,872.40
  6. Step 6: Final answer
    x = 11,248.02

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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.