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Finding the Fourth Proportional to 30,812.34, 46,218.51 and 10,035.84

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Solution

The fourth proportional to 30,812.34, 46,218.51 and 10,035.84 is: 15,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.34 : 46,218.51 = 10,035.84 : x
  2. Step 2: Convert to fraction form
    30,812.34/46,218.51 = 10,035.84/x
  3. Step 3: Cross multiply
    30,812.34x = 46,218.51 × 10,035.84
  4. Step 4: Simplify right side
    30,812.34x = 463,841,571.40
  5. Step 5: Solve for x
    x = 463,841,571.40/30,812.34
  6. Step 6: Final answer
    x = 15,053.76

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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.