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Finding the Fourth Proportional to 76,315.50, 105,315.39 and 42,781.50

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Solution

The fourth proportional to 76,315.50, 105,315.39 and 42,781.50 is: 59,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,315.50 : 105,315.39 = 42,781.50 : x
  2. Step 2: Convert to fraction form
    76,315.50/105,315.39 = 42,781.50/x
  3. Step 3: Cross multiply
    76,315.50x = 105,315.39 × 42,781.50
  4. Step 4: Simplify right side
    76,315.50x = 4,505,550,357.29
  5. Step 5: Solve for x
    x = 4,505,550,357.29/76,315.50
  6. Step 6: Final answer
    x = 59,038.47

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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.