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Finding the Fourth Proportional to 76,312.26, 105,311.21 and 42,323.90

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Solution

The fourth proportional to 76,312.26, 105,311.21 and 42,323.90 is: 58,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,312.26 : 105,311.21 = 42,323.90 : x
  2. Step 2: Convert to fraction form
    76,312.26/105,311.21 = 42,323.90/x
  3. Step 3: Cross multiply
    76,312.26x = 105,311.21 × 42,323.90
  4. Step 4: Simplify right side
    76,312.26x = 4,457,180,382.74
  5. Step 5: Solve for x
    x = 4,457,180,382.74/76,312.26
  6. Step 6: Final answer
    x = 58,407.13

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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.