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Finding the Fourth Proportional to 75,235.76, 103,858.42 and 52,663.40

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Solution

The fourth proportional to 75,235.76, 103,858.42 and 52,663.40 is: 72,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,235.76 : 103,858.42 = 52,663.40 : x
  2. Step 2: Convert to fraction form
    75,235.76/103,858.42 = 52,663.40/x
  3. Step 3: Cross multiply
    75,235.76x = 103,858.42 × 52,663.40
  4. Step 4: Simplify right side
    75,235.76x = 5,469,537,515.83
  5. Step 5: Solve for x
    x = 5,469,537,515.83/75,235.76
  6. Step 6: Final answer
    x = 72,698.64

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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.