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Finding the Fourth Proportional to 35,778.70, 49,373.65 and 21,446.63

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Solution

The fourth proportional to 35,778.70, 49,373.65 and 21,446.63 is: 29,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,778.70 : 49,373.65 = 21,446.63 : x
  2. Step 2: Convert to fraction form
    35,778.70/49,373.65 = 21,446.63/x
  3. Step 3: Cross multiply
    35,778.70x = 49,373.65 × 21,446.63
  4. Step 4: Simplify right side
    35,778.70x = 1,058,898,368.39
  5. Step 5: Solve for x
    x = 1,058,898,368.39/35,778.70
  6. Step 6: Final answer
    x = 29,595.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.