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Finding the Fourth Proportional to 35,597.49, 53,364.51 and 16,865.84

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Solution

The fourth proportional to 35,597.49, 53,364.51 and 16,865.84 is: 25,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,597.49 : 53,364.51 = 16,865.84 : x
  2. Step 2: Convert to fraction form
    35,597.49/53,364.51 = 16,865.84/x
  3. Step 3: Cross multiply
    35,597.49x = 53,364.51 × 16,865.84
  4. Step 4: Simplify right side
    35,597.49x = 900,037,020.52
  5. Step 5: Solve for x
    x = 900,037,020.52/35,597.49
  6. Step 6: Final answer
    x = 25,283.72

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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.