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Finding the Fourth Proportional to 77,218.34, 115,827.60 and 30,470

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Solution

The fourth proportional to 77,218.34, 115,827.60 and 30,470 is: 45,705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,218.34 : 115,827.60 = 30,470 : x
  2. Step 2: Convert to fraction form
    77,218.34/115,827.60 = 30,470/x
  3. Step 3: Cross multiply
    77,218.34x = 115,827.60 × 30,470
  4. Step 4: Simplify right side
    77,218.34x = 3,529,266,972
  5. Step 5: Solve for x
    x = 3,529,266,972/77,218.34
  6. Step 6: Final answer
    x = 45,705.04

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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.