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Finding the Fourth Proportional to 30,029, 45,140.70 and 27,864.68

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Solution

The fourth proportional to 30,029, 45,140.70 and 27,864.68 is: 41,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,029 : 45,140.70 = 27,864.68 : x
  2. Step 2: Convert to fraction form
    30,029/45,140.70 = 27,864.68/x
  3. Step 3: Cross multiply
    30,029x = 45,140.70 × 27,864.68
  4. Step 4: Simplify right side
    30,029x = 1,257,831,160.48
  5. Step 5: Solve for x
    x = 1,257,831,160.48/30,029
  6. Step 6: Final answer
    x = 41,887.21

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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.