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Finding the Fourth Proportional to 76,526, 105,615.78 and 42,992

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Solution

The fourth proportional to 76,526, 105,615.78 and 42,992 is: 59,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,526 : 105,615.78 = 42,992 : x
  2. Step 2: Convert to fraction form
    76,526/105,615.78 = 42,992/x
  3. Step 3: Cross multiply
    76,526x = 105,615.78 × 42,992
  4. Step 4: Simplify right side
    76,526x = 4,540,633,613.76
  5. Step 5: Solve for x
    x = 4,540,633,613.76/76,526
  6. Step 6: Final answer
    x = 59,334.52

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