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Finding the Fourth Proportional to 35,889, 53,833.98 and 11,265

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Solution

The fourth proportional to 35,889, 53,833.98 and 11,265 is: 16,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,889 : 53,833.98 = 11,265 : x
  2. Step 2: Convert to fraction form
    35,889/53,833.98 = 11,265/x
  3. Step 3: Cross multiply
    35,889x = 53,833.98 × 11,265
  4. Step 4: Simplify right side
    35,889x = 606,439,784.70
  5. Step 5: Solve for x
    x = 606,439,784.70/35,889
  6. Step 6: Final answer
    x = 16,897.65

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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.