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Finding the Fourth Proportional to 30,733, 46,089.22 and 12,008.18

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Solution

The fourth proportional to 30,733, 46,089.22 and 12,008.18 is: 18,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,733 : 46,089.22 = 12,008.18 : x
  2. Step 2: Convert to fraction form
    30,733/46,089.22 = 12,008.18/x
  3. Step 3: Cross multiply
    30,733x = 46,089.22 × 12,008.18
  4. Step 4: Simplify right side
    30,733x = 553,447,649.82
  5. Step 5: Solve for x
    x = 553,447,649.82/30,733
  6. Step 6: Final answer
    x = 18,008.25

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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.