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Finding the Fourth Proportional to 35,072, 48,402.24 and 19,969.64

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Solution

The fourth proportional to 35,072, 48,402.24 and 19,969.64 is: 27,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,072 : 48,402.24 = 19,969.64 : x
  2. Step 2: Convert to fraction form
    35,072/48,402.24 = 19,969.64/x
  3. Step 3: Cross multiply
    35,072x = 48,402.24 × 19,969.64
  4. Step 4: Simplify right side
    35,072x = 966,575,307.99
  5. Step 5: Solve for x
    x = 966,575,307.99/35,072
  6. Step 6: Final answer
    x = 27,559.74

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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.