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Finding the Fourth Proportional to 55,298.84, 76,315.77 and 31,430.16

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Solution

The fourth proportional to 55,298.84, 76,315.77 and 31,430.16 is: 43,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,298.84 : 76,315.77 = 31,430.16 : x
  2. Step 2: Convert to fraction form
    55,298.84/76,315.77 = 31,430.16/x
  3. Step 3: Cross multiply
    55,298.84x = 76,315.77 × 31,430.16
  4. Step 4: Simplify right side
    55,298.84x = 2,398,616,861.62
  5. Step 5: Solve for x
    x = 2,398,616,861.62/55,298.84
  6. Step 6: Final answer
    x = 43,375.54

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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.