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Finding the Fourth Proportional to 76,314.65, 105,314.20 and 42,328.33

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Solution

The fourth proportional to 76,314.65, 105,314.20 and 42,328.33 is: 58,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314.65 : 105,314.20 = 42,328.33 : x
  2. Step 2: Convert to fraction form
    76,314.65/105,314.20 = 42,328.33/x
  3. Step 3: Cross multiply
    76,314.65x = 105,314.20 × 42,328.33
  4. Step 4: Simplify right side
    76,314.65x = 4,457,773,842.18
  5. Step 5: Solve for x
    x = 4,457,773,842.18/76,314.65
  6. Step 6: Final answer
    x = 58,413.08

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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.