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Finding the Fourth Proportional to 35,741.60, 49,325.64 and 20,637.02

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Solution

The fourth proportional to 35,741.60, 49,325.64 and 20,637.02 is: 28,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741.60 : 49,325.64 = 20,637.02 : x
  2. Step 2: Convert to fraction form
    35,741.60/49,325.64 = 20,637.02/x
  3. Step 3: Cross multiply
    35,741.60x = 49,325.64 × 20,637.02
  4. Step 4: Simplify right side
    35,741.60x = 1,017,934,381.20
  5. Step 5: Solve for x
    x = 1,017,934,381.20/35,741.60
  6. Step 6: Final answer
    x = 28,480.38

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Why These Related Problems?

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