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Finding the Fourth Proportional to 76,314.66, 105,314.23 and 42,328.35

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Solution

The fourth proportional to 76,314.66, 105,314.23 and 42,328.35 is: 58,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314.66 : 105,314.23 = 42,328.35 : x
  2. Step 2: Convert to fraction form
    76,314.66/105,314.23 = 42,328.35/x
  3. Step 3: Cross multiply
    76,314.66x = 105,314.23 × 42,328.35
  4. Step 4: Simplify right side
    76,314.66x = 4,457,777,106.04
  5. Step 5: Solve for x
    x = 4,457,777,106.04/76,314.66
  6. Step 6: Final answer
    x = 58,413.12

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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.