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Finding the Fourth Proportional to 62,530.16, 86,291.64 and 34,235.84

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Solution

The fourth proportional to 62,530.16, 86,291.64 and 34,235.84 is: 47,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,530.16 : 86,291.64 = 34,235.84 : x
  2. Step 2: Convert to fraction form
    62,530.16/86,291.64 = 34,235.84/x
  3. Step 3: Cross multiply
    62,530.16x = 86,291.64 × 34,235.84
  4. Step 4: Simplify right side
    62,530.16x = 2,954,266,780.38
  5. Step 5: Solve for x
    x = 2,954,266,780.38/62,530.16
  6. Step 6: Final answer
    x = 47,245.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.