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Finding the Fourth Proportional to 55,428.96, 76,473.12 and 31,549.80

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Solution

The fourth proportional to 55,428.96, 76,473.12 and 31,549.80 is: 43,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,428.96 : 76,473.12 = 31,549.80 : x
  2. Step 2: Convert to fraction form
    55,428.96/76,473.12 = 31,549.80/x
  3. Step 3: Cross multiply
    55,428.96x = 76,473.12 × 31,549.80
  4. Step 4: Simplify right side
    55,428.96x = 2,412,711,641.38
  5. Step 5: Solve for x
    x = 2,412,711,641.38/55,428.96
  6. Step 6: Final answer
    x = 43,528.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.