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Finding the Fourth Proportional to 35,959.14, 53,963.02 and 12,585.78

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Solution

The fourth proportional to 35,959.14, 53,963.02 and 12,585.78 is: 18,887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,959.14 : 53,963.02 = 12,585.78 : x
  2. Step 2: Convert to fraction form
    35,959.14/53,963.02 = 12,585.78/x
  3. Step 3: Cross multiply
    35,959.14x = 53,963.02 × 12,585.78
  4. Step 4: Simplify right side
    35,959.14x = 679,166,697.86
  5. Step 5: Solve for x
    x = 679,166,697.86/35,959.14
  6. Step 6: Final answer
    x = 18,887.18

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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.