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Finding the Fourth Proportional to 40,530.34, 55,930.93 and 22,627

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Solution

The fourth proportional to 40,530.34, 55,930.93 and 22,627 is: 31,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,530.34 : 55,930.93 = 22,627 : x
  2. Step 2: Convert to fraction form
    40,530.34/55,930.93 = 22,627/x
  3. Step 3: Cross multiply
    40,530.34x = 55,930.93 × 22,627
  4. Step 4: Simplify right side
    40,530.34x = 1,265,549,153.11
  5. Step 5: Solve for x
    x = 1,265,549,153.11/40,530.34
  6. Step 6: Final answer
    x = 31,224.74

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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.