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Finding the Fourth Proportional to 30,872.64, 46,308.96 and 7,498.92

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Solution

The fourth proportional to 30,872.64, 46,308.96 and 7,498.92 is: 11,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.64 : 46,308.96 = 7,498.92 : x
  2. Step 2: Convert to fraction form
    30,872.64/46,308.96 = 7,498.92/x
  3. Step 3: Cross multiply
    30,872.64x = 46,308.96 × 7,498.92
  4. Step 4: Simplify right side
    30,872.64x = 347,267,186.32
  5. Step 5: Solve for x
    x = 347,267,186.32/30,872.64
  6. Step 6: Final answer
    x = 11,248.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.