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Finding the Fourth Proportional to 35,452.64, 48,899.76 and 30,476

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Solution

The fourth proportional to 35,452.64, 48,899.76 and 30,476 is: 42,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,452.64 : 48,899.76 = 30,476 : x
  2. Step 2: Convert to fraction form
    35,452.64/48,899.76 = 30,476/x
  3. Step 3: Cross multiply
    35,452.64x = 48,899.76 × 30,476
  4. Step 4: Simplify right side
    35,452.64x = 1,490,269,085.76
  5. Step 5: Solve for x
    x = 1,490,269,085.76/35,452.64
  6. Step 6: Final answer
    x = 42,035.49

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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.