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Finding the Fourth Proportional to 35,961.03, 53,941.50 and 9,665.78

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Solution

The fourth proportional to 35,961.03, 53,941.50 and 9,665.78 is: 14,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,961.03 : 53,941.50 = 9,665.78 : x
  2. Step 2: Convert to fraction form
    35,961.03/53,941.50 = 9,665.78/x
  3. Step 3: Cross multiply
    35,961.03x = 53,941.50 × 9,665.78
  4. Step 4: Simplify right side
    35,961.03x = 521,386,402.16
  5. Step 5: Solve for x
    x = 521,386,402.16/35,961.03
  6. Step 6: Final answer
    x = 14,498.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.