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Finding the Fourth Proportional to 76,403.65, 105,436.11 and 42,412.41

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Solution

The fourth proportional to 76,403.65, 105,436.11 and 42,412.41 is: 58,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,403.65 : 105,436.11 = 42,412.41 : x
  2. Step 2: Convert to fraction form
    76,403.65/105,436.11 = 42,412.41/x
  3. Step 3: Cross multiply
    76,403.65x = 105,436.11 × 42,412.41
  4. Step 4: Simplify right side
    76,403.65x = 4,471,798,998.94
  5. Step 5: Solve for x
    x = 4,471,798,998.94/76,403.65
  6. Step 6: Final answer
    x = 58,528.60

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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.