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Finding the Fourth Proportional to 46,577.34, 64,274.78 and 26,433.80

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Solution

The fourth proportional to 46,577.34, 64,274.78 and 26,433.80 is: 36,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,577.34 : 64,274.78 = 26,433.80 : x
  2. Step 2: Convert to fraction form
    46,577.34/64,274.78 = 26,433.80/x
  3. Step 3: Cross multiply
    46,577.34x = 64,274.78 × 26,433.80
  4. Step 4: Simplify right side
    46,577.34x = 1,699,026,679.56
  5. Step 5: Solve for x
    x = 1,699,026,679.56/46,577.34
  6. Step 6: Final answer
    x = 36,477.54

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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.