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Finding the Fourth Proportional to 40,066, 55,293.64 and 22,402

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Solution

The fourth proportional to 40,066, 55,293.64 and 22,402 is: 30,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,066 : 55,293.64 = 22,402 : x
  2. Step 2: Convert to fraction form
    40,066/55,293.64 = 22,402/x
  3. Step 3: Cross multiply
    40,066x = 55,293.64 × 22,402
  4. Step 4: Simplify right side
    40,066x = 1,238,688,123.28
  5. Step 5: Solve for x
    x = 1,238,688,123.28/40,066
  6. Step 6: Final answer
    x = 30,916.19

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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.