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Finding the Fourth Proportional to 76,052.34, 104,952.42 and 42,518.34

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Solution

The fourth proportional to 76,052.34, 104,952.42 and 42,518.34 is: 58,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,052.34 : 104,952.42 = 42,518.34 : x
  2. Step 2: Convert to fraction form
    76,052.34/104,952.42 = 42,518.34/x
  3. Step 3: Cross multiply
    76,052.34x = 104,952.42 × 42,518.34
  4. Step 4: Simplify right side
    76,052.34x = 4,462,402,677.38
  5. Step 5: Solve for x
    x = 4,462,402,677.38/76,052.34
  6. Step 6: Final answer
    x = 58,675.42

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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.