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Finding the Fourth Proportional to 76,509.40, 105,583.56 and 42,521.08

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Solution

The fourth proportional to 76,509.40, 105,583.56 and 42,521.08 is: 58,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.40 : 105,583.56 = 42,521.08 : x
  2. Step 2: Convert to fraction form
    76,509.40/105,583.56 = 42,521.08/x
  3. Step 3: Cross multiply
    76,509.40x = 105,583.56 × 42,521.08
  4. Step 4: Simplify right side
    76,509.40x = 4,489,527,001.44
  5. Step 5: Solve for x
    x = 4,489,527,001.44/76,509.40
  6. Step 6: Final answer
    x = 58,679.42

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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.