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Finding the Fourth Proportional to 35,809.71, 53,710.47 and 9,516.48

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Solution

The fourth proportional to 35,809.71, 53,710.47 and 9,516.48 is: 14,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,809.71 : 53,710.47 = 9,516.48 : x
  2. Step 2: Convert to fraction form
    35,809.71/53,710.47 = 9,516.48/x
  3. Step 3: Cross multiply
    35,809.71x = 53,710.47 × 9,516.48
  4. Step 4: Simplify right side
    35,809.71x = 511,134,613.55
  5. Step 5: Solve for x
    x = 511,134,613.55/35,809.71
  6. Step 6: Final answer
    x = 14,273.63

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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.